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I N D U S T R I A L a n d E N G I N E E R I N G C H E M I S T R Y

A N A L Y T I C A L E D I T I O N

V O LU M E 18, N U M B E R 5 ISSUED M A Y 23, 1946 C O N S EC U T IV E N U M B E R 10

Assistant to Editor: N . A . P A R K IN S O N

Manuscript Editing: G . G L A D Y S G O R D O N

R. P. C H A P M A N J . R. C H U R C H IL L B. L . C L A R K E

E D IT O R : W A L T E R J. M U R P H Y Associate Editor: L A W R E N C E T . H A L L E T T

A ssistant Editors

Manuscript Reviewing: S T E L L A A N D E R S O N

A d viso ry Board

Contributing Editor: R. H . M U L L E R

Make-up: C H A R L O T T E C . SAYRE

I

T . R. C U N N I N G H A M G . E . F. L U N D E L L M . G . M E L L O N

R. H . M U L L E R B. L . O S E R . H . H . W IL L A R D

\ £ tX js **spBbftr

Editorial...279 Improvement of Precision by Repeated Measurements . .

John Mandel 280 Determining Rates of Deoxidation of Iron O x id e Materials

in Reducing G ases . . . E. P. Barrett and C . E. Wood 285 Estimation of Naphthalene in Absorbing O i l ...

P. E. Reichardt and D. L. White 286 Determination of Vitamin A in Liver ...

W illis D. G allup and J . A . Hoefer 288 Determination of Uronic A c i d s ...

R. M . M cCready, H . A . Swenson, and W . D. Maclay 290 Routine A nalysis of Manganese B r o n z e ...

Edwin K. Babson and Wayne W . Johnson 292 Determination of Small Amounts of Arom atic Hydrocarbons

in Aqueous S o lu tio n s ...

H . E. M orris, R. B. Stiles, and W . H . Lane 294 Determination of Solubility of Styrene in Water and of Water

in S t y r e n e ...W . H . Lane 295 Excessively High Riboflavin Retention during Braising of

B e e f ...Winifred F. Hinman, Ruth E. Tucker, Loretta M , Jans, and Evelyn G . Halliday 296 Conductometric Titrations with Organic R eag en ts...

J . F. C o rw in and fd. V . M oyer 302 Determination of Tetraethyllead in Gasoline by X-Ray

Absorption . M iles V . Sullivan and Herbert Friedman 304

M IC R O C H E M IS T R Y

Phenolic Resin G lu e Line as Found in Yellow Birch P ly­

wood . . C . A . Farrow, D. H . Hamly, and E. A . Smith 307 X-Ray Identification and Crystallography of A ld ehyd es

and Ketones as 2,4-Dinitrophenyihydrazones . . . . George L. Clark, W ilbur I. Kaye, and Thomas D. Parks 310 Determination of M ethyl Chloride in A i r ...

J . L. Franklin, E. L. G unn, and R. L. Martin 314 Field Test for Surface D D T ...

Henry A . Stiff, J r ., and Julio C . Castillo 316 Colorimetric Determination of Fatty A c id s and Esters . .

Uno T. H ill 317

Determination of Nitrogen, Phosphorus, Potassium, Cal­

cium, and Magnesium in Plant T is s u e ...

Omer J . Kelley, A lbert S. Hunter, and Athan J . Sterges 319 Use of Ion-Exchange Resin in Determination of Traces of

Copper . . . H . A . Cranston and John B. Thompson 323 Measuring Distribution of Particle Size in Dispersed Systems

W alter M . Dotts 326 N O T E S O N A N A L Y T I C A L P R O C E D U R E S

High-Speed Filter A id for Chromatographic A nalysis . . John B. W ilkes 329 Determination of Hydrogen in Highly Fluorinated Carbon

C o m p o u n d s ...J ' ' ____________

W . H . Pearlson, T. J . Brice, and J . H . Simons 330 Electronic M ake and Break for Relay Operation . . . .

R. B. Harvey 331 Automatic Cutoff for Electrically Heated Water Still . .

Lawrence M . White and Geraldine E. Secor 332 Reaction of Lead Soaps with Sodium I o d i d e ...

Robert S. Barnett 333 New Standard for Use in Ultimate A nalysis of Organic

Compounds . . . C . L. Ogg and C . O . W illits 334 Determination of Sulfur in Sulfur Compounds with Benzi­

dine fdydrochloride...W esley S. Plainer 334 Separation of 2,4-Dinitrophenylhydrazones by Chromato­

graphic Adsorption . J . D. Roberts and Charlotte Green 335 Arrangement for M ultiple p H Determ inations...

M ax D. Reeves 336 Modified Gas-Absorption A p p a r a t u s ... .

A rchie N . Bolstad and Ralph E. Dunbar 337 Electromagnetic Stirring Device . . William N . McIntosh 338 B O O K R E V I E W... 338 C O R R E S P O N D E N C E

Determination of p,p' Content of Technical DDT . . . . 339 Determination of E t h y le n e ...339 Suggestions to A u t h o r s ...340 Instrumentation in A n alysis . . R. H . M u ller (A d vt. Sect.) 23

The Am erican Chem ical S o cie ty assumes no respo nsib ility for the statements and opinions advanced by contributors to its publications. V ie w s expressed in the editOq^flEksre those o f the editors and do not necessarily represent the official position

° f th /jX j*e ric a n Chem ical S o cie ty.

W e ackn ow ledge w ith thanks the action of J . T . Baker Chem ical C o . in releasing the front co ve r of this issue for ed ito rial purposes.

C o p yrig h t 1 9 4 6 by A m erican Chem ical So ciety.

“ 3 6 ,6 0 0 copies of this issue p rinted.

Published by the Am erican Chem ical So ciety at Easton, Pa. E dito rial H e a d ­ quarters: 1 1 5 5 16th Street, N . W ., W ashington 6 , D. C . ; telep hon e, R ep ub lic 5301/

cable, Jiechem (W ashin g to n). N e w Y o rk E dito rial Branch: 6 0 East 4 2nq, Street, N e w Y o rk 1 7 , N . Y ./ telep hon e, M u rray H ill 2 - 4 6 6 2 . C h icag o Edito rial Branch:

Room 8 1 9 , 2 5 E . Ja ck so n B lv d ., C h icag o 4 , III./ telep hon e, W abash 7 3 7 6 . Business O ffice : A m erican Chem ical So cie ty, 1 1 5 5 16th Street. N . W ., W ashington 6 , D. C A dvertising O ff ic e : 3 3 2 W est 42 n d Street, N e w Y o rk 1 8 , N . Y ./ telephone, Bryant 9 -4 4 3 0 .

Entered as second-class matter at the Post O ff ic e at Easton, P a ., under the A c t of M arch 3 , 1 8 7 9 , as 2 4 times a year— Industrial E ditio n monthly on the 1st, A nalytical Edition monthly on the 1 5 th . A cce p tan ce fo r mailing at special rate of postage p ro ­ vided for in Section 1 1 0 3 , A c t of O c to b e r 3 , 1 9 1 7 , authorized J u ly 1 3 ,1 9 1 8 .

Remittances and orders fo r subscriptions and for single co p ies, notices of changes of address and n e w professional connections, and claims fo r missing numbers shoukl be sent to the A m erican Chem ical S o cie ty, 1 1 5 5 16th Street, N . W ., W ashington 6 ,

D. C . Changes of address for the Industrial Edition must be received on o r before the 18th o f the preceding month and fo r the A n a ly tica l Edition not later than the 30th o f the preceding month. Claim s fo r missing numbers w ill not be a llo w e d ( 1 ) if received more than 6 0 days from daté of issue (o w in g to d e live ry hazards, no claims can be honored from subscribers in Continental E u ro p e , A s ia , o r the P acific Islands other than H a w a ii), ( 2 ) if loss w as due to failure o f notice of change o f address to be received before the dates specified in the preceding sentence, o r ( 3 ) if the reason fo r claim is

"missing from files’*. _ ,

A nnu al subscriptions— Industrial E ditio n and A n a lytica l Edition sold o n ly as a u n it members $ 3 .0 0 , nonmembers $ 4 .0 0 . Postage to countries not in the Pan- A m erican U nio n $ 2 .2 5 / C anadian postage $ 0 .7 5 Single co p ies— current issues, Industrial Edition $ 0 .7 5 , A n a lytica l Edition $ 0 .5 0 / back numbers, Industrial Edition

$ 0 .8 0 , A n a ly tica l Edition prices on request/ special rates to members.

The Am erican Chem ical S o cie ty also publishes C h em ica l and En g in e e rin g N ews, C h em ica l A bstra cts, and Jo u rn a l o f the A m erican C h em ica l S o c ie ty . Kates on request.

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I N G C H E M I S T R Y Vol. 18, No. 5

S K I L L I S N O T E N O U G H . . . c a re fu l c h e m is ts ' S u p p le m e n t sk ill w ith th e b e s t in c b e m ic a ls. B y

s p e c ify in g M a llin c k ro d t A n a ly tic a l R e a g e n ts h ig h ­ e st q u a lity a n d u n ifo rm , d e p e n d a b le p u r ity a re a lw a y s a s s u re d .

S e n d for t h e M a llin c k r o d t A n a l y t i c a l R e a g e n t c a t ­ a lo g to g e th e r w i t h a n y specific in f o r m a tio n d e s ire d o n M a llin c k r o d t c h e m ic a ls to fit y o u r s p e c ia liz e d o p e ra tio n s .

A lw a y s S p e c ify M a llin c k r o d t R e a g e n ts In O r ig in a l P a c k a g e s

T a r ta r ic A c id

( Mallinckrodt)

M a g n if ie d to 10 D ia m e te r s

MALLINCKRODT

J 9 W e a ' i à o f7 ¿ ¡ jP & lw c e

M allin ck ro d t St., St. Louis 7 , Mo.

CHICAGO . PH ILA D ELPH IA

WORKS

72 G old St., N ew Y o r k 8, N. Y . LOS A N G ELES MONTREAL

U N I F O R M D E P E N D A B L E P U R I T Y

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May, 1946 A N A L Y T I C A L E D I T I O N

C

e n t r a l

S

c i e n t i f i c

C

o m p a n y S c ie n tific C tN (D f y p a ta tu i

N ew York BOSTON San Francisco C H IC A G O Los A ngeles TORONTO M ontreal M a in o ffic e a n d F a c to ry

1 7 0 0 Ir v in g P a rk R o a d , C h ic a g o 1 3 , I llin o is , U .S .A . C a b le a d d re s s : C e n co

SERVING SCIENCE

T h e C e n tr a l S cien tific C o m p a n y , e s ta b lis h e d in 1 8 8 9 , is k n o w n in t e r n a t i o n a l l y f o r th e m a n u f a c tu r in g a n d m e r c h a n d is in g o f s c ie n ­ tific in s tr u m e n ts a n d a p p a r a t u s fo r e d u c a tio n a l, in d u s tr i a l a n d c lin ic a l la b o r a t o r i e s . C e n c o ’s c o m p le te s to c k s f a c ilita te te s ti n g o f a ll ty p e s :

C o a l a n d C o ke D a ir y P ro d u cts F e rm e n ta tio n In d u s trie s Fo od a n d D ru g s H ig h w a y T e stin g Le a th e r a n d G lu e M e ta llu rg y

M illin g , B a k in g , G ra in s

P a in ts , V a r n is h e s , etc.

P a p e r

P e tro le u m P ro d u cts R u b b e r

S o ils a n d F e r tiliz e rs T e x tile s

V e g e ta b le O ils , S o a p W a ter a n d S e w a g e

A p p a r a tu s m a n u f a c tu r e d b y a n d b e a r i n g th e fa m o u s C e n c o tr a d e m a r k in c lu d e : D e K h o t in s k y d r y i n g o v e n s , in c u b a to r s , t h e r m o r e g u ­ la to r s , " P h o t e l o m e t e r s ” a n d " S p e c t r o p h o t e lo m e t e r s ,” H y v a c , P re s - so v a c , M e g a v a c , H y p e rv a c a n d S u p e rv a c p u m p s , T e n s io m e te r s , H y d r o p h il b a la n c e s , etc. C e n c o a l s o d is tr i b u te s i n t e r n a t i o n a l b r a n d s :

B a k e r’ s A n a ly z e d C h e m ic a ls • C o o rs P o r c e la in w a r e

" P y r e x ” a n d " V y c o r ” B ra n d G la s s w a r e • N o r m a * , E x a x a n d R e s is ta n c e G la s s w a r e • Leco C a rb o n a n d

S u lp h u r D e te rm in a to rs • W a rin g B le n d o rs

F o r a s s u r a n c e o f p r o d u c t, p ric e a n d s e r v ic e —-sp ecify C e n c o .

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6 I N D U S T R I A L A N D E N G I N E E R I N G C H E M I S T R Y Vol. 18, No. 5

Hydrogen Ion Concentrations c a n n o w

BE M EA SU R ED W ITH IN 0.1 pH W ITH ACCUTINT TEST

S im ple

N o I n s t r u m e n t R e q u i r e d Can B e E m p l o y e d A n y w h e r e C o l o r S c a l e o n E a c h V i a l

M a s t e r C o l o r Chart G r a p h ic Correlatio n

ACCUTINT Test P ap ers a re sim ple, ra p id a n d a c c u ra te m eans of m aking h y d ro g e n ion determ inations. M erely p la c e a d ro p of th e solution b eing exam ined on a strip of th e test p ap e r, observ e th e color c h a n g e w hich occurs, th en m ake a com parison w ith th e p rin te d color sta n d a rd on the vial.

Each strip re acts to p ro d u c e a distinctive color re a c tio n at stated pH values w ithin its ra n g e or in d icates th a t an a d ja c e n t ra n g e m ust b e u sed for furth er determ ination.

ACCUTINT W ide R ange Test P ap ers perm it qu ick determ in atio n to establish the pH v alue w ithin 0.5 unit in th e ra n g e 0 to 14 pH w hile F ractional R ange ACCUTINT Test P ap ers e n a b le closer approxim ations to w ithin 0.1 an d 0.3 of 1 pH unit. W h e re a pH value ca n n o t b e closely estim ated, the use of w ide ra n g e p a p e rs is re co m m en d ed to localize th e pH v alu e suffi­

ciently for quick, effective use of fraction al ra n g e p ap ers.

ACCUTINT P apers a re as sim ple to use as Litmus P a p e r b u t a re m any tim es m ore inform ative: th e 23 different ra n g e s pro v id e 144 se p a ra te color reactions. ACCUTINT P apers a re fu rn ish ed in p a d s of 20 strips ea ch , five p ad s to a vial.

DISTRIBUTORS

E. H . S A R G E N T & C O . — 1 5 5 -1 6 5 E. Superior Street, Chicago 11, III.

Michigan Div., 1959 E. Jefferson, Detroit 7, M ich.

Serves M iddle W est, Gulf States end Mountain States o f W est G E N E R A L L A B O R A T O R Y S U P P L Y C O . — Paterson 3, N . J. — SHerwood 2-1123

Serves the New Jersey Territory T H E E M IL G R E IN E R C O . — 161 Sixth A ven u e, New York, N . Y . PH IPPS A N D BIRD — Sixth and Byrd Streets, Richmond, Virginia

Serves Virginia, North Carolina, South Carolina

S T A N D A R D SC IEN TIFIC S.UPPLY C O R P . — 34 W . Fourth Street, N ew York, N .

y.

W IL L C O R P . — Rochester, New York

ALL other territory served by:

A N A C H E M I A N E W Y O R K — 70 East 45th Street, N ew York 1 7, N . Y.

MUrray H ill 6-0753

W id e R a n g e A C C U T IN T T e s t P a p e r s

(65c p e r V ial)

A c o v e r s r a n g e 0 t h r o u g h 5 p H B c o v e r s r a n g e 1 t h r o u g h 12 p H C c o v e r s r a n g e 9 t h r o u g h 14 p H P a c k e d i n v ia l, 5 p a d s , 100 s t r i p s

(P le a s e s p e c if y r a n g e s d e s ir e d ) F r a c t i o n a l R a n g e A C C U T IN T T e s t

P a p e r s (65c p e r V ial)

N o . F r a c t i o n a l R a n g *

1 0 ... 0 . 0 t h r o u g h 1 .2 2 0 ... 0 .8 t h r o u g h 2 .4 3 0 ... 1 .3 t h r o u g h 3 .3 4 0 ... 1 .4 t h r o u g h 3 .0 5 0 ... 1 .7 t h r o u g h 3 .3 6 0 ... 2 .7 t h r o u g h 4 .7 7 0 ... 3 .9 t h r o u g h 5 .4 8 0 ... 5 .0 t h r o u g h 6 .6 9 0 ... 5 .2 t h r o u g h 6 .9 1 0 0 ... 5 .3 t h r o u g h 7 .0 1 1 0 . . ... 6 .1 t h r o u g h 7 .4 1 2 0 ... 6 .9 t h r o u g h 8 .4 1 3 0 ... 7 .2 t h r o u g h 8 .8 1 4 0 ... 7 . 3 t h r o u g h 8 .8 1 5 0 ... 8 .4 t h r o u g h 9 .4 160 ... 8 . 9 t h r o u g h 1 0 .0 1 7 0 ... 9 .1 t h r o u g h 1 0 .4 1 8 0 ...10 .1 t h r o u g h 1 2 .0 1 9 0 ... 1 0 .7 t h r o u g h 1 4 .0 , 2 0 0 ... 1 2 .4 t h r o u g h 1 4 .0

P a c k e d i n v i a l , 5 p a d s , 1 00 s t r j ^ s ( P l e a s e o r d e r b y R a n g e N u m b e r s ) M a s t e r A C C U T I N T C o l o r C h a r t , 21 x 1 0 l i " , c o r r e l a t e s b y v a l u e a n d g r a p h i c a l l y a l l 144 p H v a l u e s , p e r c h a r t $ 3 .2 5 .

1 c o m p l e t e s e t o f A C C U T I N T P a p e r s , c o m p r i s i n g 2 3 v i a l s (3 w i d e r a n g e s a n d 2 0 f r a c t i o n a l r a n g e s ) a n d a n A C C U T I N T M a s t e r C h a r t , $ 1 8 .2 0 .

17, N.Y.

(5)

May, 1946 A N A L Y T I C A L E D I T I O N

KIMBLE GLASS COMPANY • • • • v i n e l a n d , n . J.

N E W Y O R K • C H I C A G O . P H I L A D E L P H I A • D E T R O I T • B O S T O N • I N D I A N A P O L I S • S A N F R A N C I S C O NÖRMAX

EXAX blue l in e

U n g ra d u a te d M G r a d u a t e d

leading Lab oratory Supply Houses throughout the United States and C a n a d a for Kimble Lab o rato ry G la ssw a re to meet Y O U R needs.

(6)

Analysis Chart.

hrough the use

» f * "

 ΠΠ?

I N D U S T R I A L A N D E N G I N E E R I N G C H E M I S T R Y Vol. 18, No. 5

^T^HE Merck line of Reagents and C. P. Chemi-

*■* cals, as well as those chemicals suitable for industrial research, educational, and routine plant laboratory uses, is comprehensive. C.P.and Reagent mineral acids and Ammonia Water are of highest purity, and are indicated wherever those acids are used.

The use of Reagent grade chemicals in operations is constantly increasing. If, in your ex­

perimental work, you find the need of a chemical of special purity, or one made to meet your individual specifications, our technical and manufacturing facil­

ities are well adapted to the production of such custom-made chemicals.

C om pany P o sitio n . .

MERCK & CO ., In c., RAHWAY, N. J.

tsU a n u ^a ctu /ytn y, Please send me th e following ch arts:

Revised Q ualitative A nalysis C h art Periodic C h a rt o f th e E lem ents Sensitivity C h art

N a m e ...

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A N A L Y T I C A L E D I T I O N 9

•••only < $M o>

McLEOD GAUGES

h ave these

im portant fe a tu re s!

iJ h is s e /iie g e j ¿ /W c r L e e d § a u q e g e jje /i

Q i INTRINSIC ACCURACY

U n ifo rm ity o f b o re o f c lo s e d c a p i l l a r y a n d the flattening of upper end in order to precisely check the zero point.

S c a le s a r e g r a d u a t e d in both th e " s q u a r e " a n d

" lin e a r" system, the form er permitting more sensitive observations. Readings can be m ade in microns and equivalent mm. values.

Precise calibration of ratio o f volumes.

STURDY, COMPACTLY SHORT, SIMPLE CONSTRUCTION

Trap a t top preventing overflow of m ercury.

Extra h eavy w all m ercury reservoir.

3-w ay stopcock with tail outlet tilted, preventing over­

flow of m ercury in tube.

S p e cia lly designed a ir filter preventing contamination of system.

Constriction of main tube preventing strain or b rea k­

ag e of flask b y sudden return of m ercury.

WIDE RANGE

For maximum sensitivity this series of gauges offers ad eq uate selection of working range desired. See charts at right.

THE EMIL GREINER CO.

161 S IX T H A V E N U E N E W Y O R K 1 3 , N . Y .

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5109 DISTRICT BOULEVARD, LOS ANGELES, CALIF.

112 BROADWAY, CAMBRIDGE, MASS.

G AU G E No. 1 Range

Scale High Vacuum Low Vacuum

Square 0.005 mic. (5 x1 0'6mm) 200 mic.

Linear 0.005 mm. 0.2 0 mm.

C a t. No. M-7622-1—Complete with stand $65.00

GAU G E No. 2 Range

Scale High Vacuum Low Vacuum

S q u a r e , 0 .05 mic. (5 x lO 'Smm) 1000 mic.

Linear 0.02 mm. 1.0 mm.

C a t. No. M-7622-^—Complete with stand $65.00

G A U G E No. 3 Range

Scale High Vacuum Low Vacuum

Squ are 0.1 mic. (1 0 ‘,<mm) 4000 mic.

Linear 0.1 mm. 4 .0 mm.

C a t. No. M-7622-3—Complete with stand $65.00

G A U G E No. 4 Range

Scale High Vacuum Low Vacuum

Sq u are 0.01 mm. 15 mm.

Linear 0.1 mm. 15 mm.

C a t. No. M-7622-4 Complete with stand...$65.00

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I N D U S T R I A L A N D E N G I N E E R I N G C H E M I S T R Y Vol. 18, No. 5

TH E “ L U M E T R O N ” M ODEL 402-E

PHOTOELECTRIC COLORIMETER

A h ig hly p re c is e research instrument o f unusual versa tility

Designed to cover th e w idest possible field of application in chemical analysis by photoelectric m eas­

urem ents, the M odel 402-E L um etron Photoelectric C olorim eter is p articu larly suited for research purposes where v ersatility and reproducibility are of v ital im portance. W hile intend ed prim arily for th e m easurem ent of transm ission of liquids, accessories are available to extend the application of th e in stru m en t to the m easurem ent of fluorescence, ultrav iolet absorption, an d sca tte rin g effect of suspended particles. I t can also be used for th e m easurem ent of reflection of solid surfaces, pastes, powders, and opaque liquids.

Sam ple H o ld ers: A ccom m odates a g reat v ariety of sam ple holders from microcells to absorption cells of 150 m m . light p ath . B y m eans of an ad a p te r, test tu b es can also be used.

M onochrom atic F ilters: T he powerful light source and high galvanom eter sen sitiv ity perm it use of filters isolating narrow spectral bands. A set of 16 m onochrom atic filters is available to cover th e spectrum from 350 to 730 millimicrons.

B alanced Photocell C ircuit: T he Brice Circuit em ployed in this in stru m en t furnishes a strictly linear response and gives a high degree of s ta ­ bility. Line voltage variatio n s have no effect upon th e readings.

Tristim ulus F ilters: A set of 3 filters is available for readings in term s of th e “ IC I 1931 S tan d ard O bserver for C olorim etry.” M easurem ents can be carried out in transm ission as well as in re­

flection tests.

T urbidity M ea su rem en ts: M easurem ent of low degrees of tu rb id ity down to 1 ppm . an d less can be m ade with th e aid of 150 m m . sam ple holders.

.A special pick-up u n it m akes it possible to extend the range of th e m easurem ents down to 0.01 ppm .

M ercury Vapor Lam p: F o r fluorescence and ultraviolet absorption tests, a m ercury v apo r lam p can be su b stitu ted for the incandescent lam p an d th e colorim eter can be equipped with a q u a rtz optical system and m ultiple-reflection galvanom eter.

R eflection A dapter: An a d a p te r can be installed for m easurem ent of reflection of pastes and powders. T he M odel 402-E L um etron P h o to ­ electric C olorim eter has found extensive appli­

cation for stan dard izing color of food m aterials,' face powders, cem ent, etc.

A detailed 14-page descriptive folder on th e LU M ETR O N M odel 402-E is available upon request. T his bulletin contains detailed d ata on absorption cells, filters, accessories, optical and photoelectric system . Inqu iries are solicited regarding th e selection of su itab le equip­

m ent to particular applications.

W I L L C O R P O R A T I O N

ROCHESTER

3,

N . Y . N EW Y O R K 12, N . Y .

B U FFA L O A P P A R A T U S C O R P ., B U FFA L O S, N . Y.

L A B O R A T O R Y A P P A R A T U S A N D C H E M I C A L S

(9)

11

Added Protection For Light-Sensitive Substances

PYREX

B R A N D

LIFETIME RED

LOW ACTINIC GLASSWARE

P y R t ñ

F O R A L L A R O U N D U S E . Y E A R ’ R O U N D E C O N O M Y

b r a n d L A B O R A T O R Y G L A S S W A R B

“P Y R E X " is a registered trade-m ark a n d indicates m anufacture by

C O R N I N G G L A S S W O R K S . C O R N I N G , N . Y.

H E R E is a c o lo r e d g la s s w a r e w h ic h c a n b e o f u tm o s t v a lu e in y o u r f o o d r e s e a r c h a n d c o n t r o l w o r k .

I t c o m b in e s th e a b ility to r e ta r d d e t e r i o r a t i o n d u e to l i g h t in flu e n c e * w ith a ll th e o t h e r p r o t e c ­ tiv e q u a litie s o f P y r e x C h e m ic a l G la s s , N o . 774

— m e c h a n ic a l s t r e n g th , c h e m ic a l s ta b ility a n d th e r m a l r e s is ta n c e . T h e L IF E T IM E R E D c o l o r is p e r m a n e n t — a n i n t e g r a l p a r t o f th e g la s s its e lf.

N o w a v a ila b le in a v a rie ty o f u s e fu l l a b o r a t o r y f o r m s — b e a k e rs , flask s, tu b e s , p ip e tte s , e t c . —

“ P y r e x ” L o w A c tin ic W a r e is fu lly d e s c r i b e d in C a ta lo g L P 24 .

*A pproxim ate percent wave-length transm is- f 3000 A ngstrom s. .0%

sion in A ngstrom units of “ Pyrex" Brand J 4000 A n g stro m s.. 1%

L IF E T IM E R E D Low A ctinic G la ssw a re .. . 15000 A ngstrom s. .4%

C orning

m eans ---

Research in Glass

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12 I N D U S T R I A L A N D E N G I N E E R I N G C H E M I S T R Y Vol. 18, No. 5

C O N T R O L E Q U I P M E N T P A Y S

D E T R O I T 4 , M I C H 9 3 3 0 R O S E L A W N

MOISTURE T ELLER W ill dry a fifty gram s a m p l e of« h i g h perm eability in o n e m in u te b y fo rc in g e le c tric a lly h e a te d air th ro u g h th e test sam ple. T e s t is in exact m o istu re p er­

c e n ta g e b y g r a v i­

m etric m e th o d . N o c o rre c tio n s o r c a li­

b r a t i o n s a r e r e ­ q u i r e d . O p e r a ti n g co st is very low .

DETERMINATOR

T h e im proved 2 M in u te C arb o n D e te rm in a to r enables o p erato r to d eterm in e eith er p relim inary o r final carb o n c o n te n t o f all m etals w ith speed an d accuracy.

N e w features elim in ate m u ch o f th e h u m a n e q u atio n a n d sim plify p ro ced u res. C o m p lete d e te rm in a tio n can b e m ad e w ith in 2 m in u tes after sam p le is w eig h ed . A 2 m in u te s S u lp h u r D e te rm in a to r is also available.

V A R I T E M P COMBUSTION

The unique construction o f the Varitemp Combustion Furnace combines transformer, pyrometer, oxygen valve, voltage control switches, power switch and furnace in a single unit. Constant Temperature assured. All parts well protected for maximum efficiency. Temperature range up to 2750 dee. Fahr. Single Tube Furnace. $177.00 . . . D ouble Tube Furnace, $230 F.O.B. D etroit.

(11)

B. F. Goodrich Chemical Company

h a s a v a i l a b l e f o r s a l e t h e s e o r g a n i c c h e m i c a l s

•• ... - - u

H )

r f i ^ ' C O a H - 0 3 i - Di B Naphthyl P Phenylene U J

Phenyl B Naphthyl Rmine ^ . Diamine

M V 107 V

pûrUy 9B.0%

Diamine merc¡ai quantities

‘■ H T S ” ”r puiliy

98.0/0 % • • • •

..

M P. 23 L,

Purity 98% ! .

!

>... H O O ^ O I

Q “ « 0 - C' v" : M onoberal " 'J 1**'2 ? Diphenyl Amines liphenyl flmi , , auanUtla, ,o, „„„„««** • Puritv

9 0

%

Available In com 145_245

D is tilla tio n r a n g e - '“

(3.° mm)

Purity 98/0 • • • • • • ----

b Q C H

p O ° CH^ i f f

O S O « ' " ' : Dibenzyl Ether of Hydronui* |

,sopr.pory '•

A v a ila b le In com m ercial

q

. M . P . *19

(A

P .

7Zt , • Purity 8570

Purity 92% mln- . ... ...

... ... fc»I>CTO ù

* • • • • • • • • • • • • • • r ^ S n o H • i nwanthogen V CH;5

p Hydrox, Dipheay'

A v a i l a b l e In c o m m e r c t a q

f t t ’ *%

0 * 0 ° * •: DilsopropylDixanthofen V C H *

I Available i n com m ercial q«

• i* p 52°

I Purliy 98 %

: ...

. * * * |flíxeV K hyl*añd Dimethyl c » , - y " + c 6 » j

► • • • • • • • • • • • • ,_,

n

O;—, • Mamantothiazoles C H ^ _ c - S

H-Hitroso O iphaiï' »™“ —

A v a i l a b l e

in

c o m m e r c i a

q

M . P- 6 * °

Purity 97%

Klixea tinji,«*«“ "■

r-^P r\ I Mercaptothiazoles

O * ' - ' S Available in com m ercial

‘’'’M T * 136-1530 C ¿ H s_ < Ü f C 5 H

Approximately «. /

Pur,,Y 85% dimethyl H - C - 5 and 15% eth yl

m ercap to lh iaio les

: .

... : ... r , u . - c - N » ]

..

Diphenyl p

P h e n y te n e

Drenàne

A v a i l a b l e

In

c o m m e r c i a l q « a M . P- 14 4 IL

Purity 92%

w

q

I Q ^ O : Mixed AliphaticThiazyl

I Disulfides .

A . . „ ï i « b l e

in

c o m m e r c i a l

¡sulfides —

A v a i l a b l e

in

c o m m e r c i a l

U H?- C

r t.m n titie s

q u a n t i t i e s

liquid

For ad d itio n al info rm atio n p le a s e w rite B. F. G oodrich Chemical C om pany, D e p a rtm e n t CA-5, Rose Building, C leveland I S , O hio.

B. F. Goodrich Chemical Company

THE B F. GOODRICH COMf AMY

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14 I N D U S T R I A L A N D E N G I N E E R I N G C H E M I S T R Y Vol. 18, No. 5

DU PONT

A n o th e r F o rw ard D ev elo p m en t in In secticid es

HEXA CH LOROCYCLOHEXAN E is a new and o u tstan d in g insecticide. In th e a n n u a l H u rte r M em orial L ectu re, delivered on M arch 8 , 1945, by D r.

R. E. Slade, R esearch C o n tro lle r of Im perial C hem ical In d u strie s, he stated , " T h e re has now com e to lig ht w h a t prom ises to be o ne o f scien ce’s im p o rtan t c o n trib u tio n s to th e w elfare o f m a n .” D r. Slade re ferred to H exachloroeyclohexane w hich was developed as an insecticide by Im perial C hem ical In d u strie s u n d e r th e follow ing add itio nal nam es: benzene hexa- cldoride, 666 , and G am m exane.

\

D u P o n t has confirm ed th e B ritish reco rds of efficiency o f th is re m a rk ­ able insecticide in its own lab o rato ries, an d is privileged to a n n o u n c e it will h av e H e x achloroeycloh exane available th is season in m o d era te q u a n ­ tities fo r ex p e rim en tal use. In q u irie s from researc h in stitu tio n s an d qu ali­

fied in v estig ato rs are invited, an d on re q u e st a copy o f D r. S lade’s le c tu re will be m ailed as soo n as it is available for d istrib u tio n . G rasselli Chem icals D ep artm en t, E. I. du P o n t de N em ou rs & C om pany, (In c.), W ilm ington 98, D elaw are.

c ^ P O H î

U .S . PAT.Off-

5

B E T T E R T H I N G S F O R B E T T E R L I V I N G . . . T H R O U G H C H E M I S T R Y

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May, 1946

QUICKER ANSW ERS

Com putation time 1 / 5 to 1 / 1 0 that required by m ech an ical ca lc u la to rs.

E A SY TO OPERATE

Short o p eratio n train in g p eriod.

E A S Y TO IN STA LL AND MAINTAIN O p e rate s from lighting circuit.

W rite fo r new descriptive bulletin.

L I D A T 1 D E N G I N E E R I N G C O R P O R A T I O N

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(14)

H-5330

T T

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Size A B C D E F

Capacity, m l.. .

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3300 4000 5800 8000

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10% Discount allowed when purchased in lots o f 12— one size or assorted.

HARSHAW SCIENTIFIC

DIVISION O F THE HARSHAW CHEMICAL CO.

C LE V E LA N D 6, OHIO

H A R S Ï^ r ï

S T O C K S A L S O C A R R I E D I N C I N C I N N A T I D E T R O I T P H I L A D E L P H I A I N D U S T R I A L A N D E N G I N E E R I N G C H E M I S T R Y Vol. 18, No. 5

S T A IN LES S STEEL

B E A K E R S

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May, 1946

I N P U T C O N T R O L !

In addition to providing your lab o rato ry and shop with re liab le facilities fo r fa s t, accurate m etallurgical tests, chemical analyses qnd many other jobs requiring tem­

peratures up to 2 0 0 0 ° F., the famous Lindberg Box Furnace with "S te p le ss” Input Control soon p ays for itself in current save d .

During a recent test this furnace consumed only 6 0 .3 kilowatts o f current, maintaining a tem perature of 1 6 5 0 ° F. fo r seven d a ys. O peratin g under the same conditions fo r a like period with the conventional rheostat required 1 10 K W o f current. A t C hicago rates this saving o f 5 0 K W H p e r w eek would amount to

$ 7 2 .8 0 in one y e a r.

The “ Stepless” Input Control, enclosed in a se p arate metal case with an Indicating Pyrom eter, em ploys a synchronous motor to autom atically m ake and b rea k the current. This supplies just the right amount needed to maintain an EXA CT tem perature level. The need fo r a w asteful rheostat is entirely elim inated. The control can be mounted conveniently n ea r furnace and p o w er lines.

The h ea vy one-piece, rod-type nickel chromium

elements a re simple and e a sy to rep lace as the use of nuts and bolts is elim inated. A built-in transform er fo r low vo ltag e current m aterially prolongs element life.

The door is o f a modern counterbalanced, vertical-lift design that keeps the hot side a w a y from the o p era to r.

Along with rem arkable savings in current consump­

tion, installation and m aintenance costs a re also un­

usually low.

Your lab o rato ry equipment d e a le r will be glad to supply you with complete information on this reliab le Lindberg Box Furnace to d ay. Also ask him about Lindberg Combustion T yp e and Pot Crucible Furnaces as w ell as Lindberg Lab o ra to ry Hot Plates.

LIN D B E R G E N G IN E E R IN G C O M P A N Y

2450 W. H U BBARD STREET • C H IC A G O 12, ILLINOIS

W E L L K N O W N T H R O U G H O U T T H E W O R L D A S L E A D E R S I N D E V E L O P I N G A N D M A N U F A C T U R I N G

I N D U S T R I A L H E A T T R E A T I N G E Q U I P M E N T

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18 I N D U S T R I A L A N D E N G I N E E R I N G C H E M I S T R Y Vol. 18, No. 5

INTERMEDIATE MODEL

W I L E Y L A B O R A T O R Y M I L L

For th e rapid m illin g of homogeneous sam ples of a great variety of com m ercial m aterials for laboratory an alysis

4 2 7 6 - M .

R e c o m m e n d e d f o r la b o r a to r y B a r le y I l u s k s .

B a r le y , M a l t i n g B lo o d , D r ie d C o c o a N ib s C o r n S t a l k s C o t t o n C l o t h

C o t t o n S e e d a n d C a k e D a t e S e e d s

D ig i ta l is E r g o t G r a s s , D rie d H a i r , R a b b i t M e t h y l M e t h a c r y l a t e

t h e p r e p a r a tio n o f s a m p le s o f:

O a t s P a p e r

R a y o n J e r s e y C lip p in g s S h r i m p S h e lls

S o y B e a n s a n d C a k e T a n k a g e H a i r T i n F o il T o b a c c o S t a l k s W h e a t

W o o d S t r i p s , ( l i g h t ) W o o l Y a r n ,

E t c ., E tc .

LABORATORY M ILL, W iley In te rm e d ia te M odel. A rugged, com pact, m o to r driven m odel as suggested by th e U. S. B ureau of P la n t In d u s try for th e rap id m illing of la b o ra to ry sam ples of m aterials tissue or sim ilar m aterials, b u t since found suitable for a great v a rie ty of com m ercial

W ith polished cham ber 40 m m d iam eter X 22 m m deep, two s ta tio n a ry blades, an d ro to r w ith four cu ttin g edges which revolves a t high speed to produce a shearing action which prev en ts loss of m ois­

tu re from heat. This M ill will prepare a 20 gram , 40 m esh sam ple of dried p la n t stem tissue in 15 to , rainu tes; a sim ilar sam ple of ex tracted leaf tissue in 7 to 10 m inutes, or of JX-inch nieces of soy­

bean stem s in o to 7 m inutes, which figures ind icate th e o peratin g speed. T h e M ill has m an y o th er

« 4 ?h 'f prCparmg f;om °gene°us sam ples. D ried sam ples are generally essential,- b u t tobacco w ith 12 % m oisture vras m illed satisfactorily.

In use, sam ples are introduced through nickel plated hopper 2 % inches diam eter a t top X 2 jX inches deep, and agitated by the high speed of th e rotor until cut to sufficient fineness to fall through the sieve top of the rem ovable delivery tu b e which forms the bottom of th e M ill chamber. Six interchange­

able, sieve top, nickel plated brass delivery tubes of 10, 20, 30, 40, 60 and 80 mesh, re­

spectively, are regularly available. T he 80 mesh size lacks ruggedness for general use b u t has been found convenient for p lan t tissue which has first passed the coarser screens.

A removable, polished p la te of glass forms the face of the chamber, an d perm its observa­

tion of the sample during operation, and makes possible easy access to the entire interior for cleaning. Five speeds from 897 to 3800 r.p.m .

are available b y changing th e position of an endless V-shaped belt. A new' feature is th e arrangem ent for collecting samples. A screw- top jar, 4 oz. capacity, can be attac h ed directly to th e delivery tu be by m eans of a special m etal threaded ad ap ter which fits th e lo v er end of the delivery tube, so th a t sam ples need n o t be transferred after milling as th e threaded ad a p te r top can be rem oved and replaced by th e plastic cap regularly supplied w ith the glass jar. Small sam ples are collected in a receiver 22 m m square X 19 mm deep, which fits directly over th e lower end of th e delivery tube.

M ounted with a 3 - 6 th h.p. continuous d u ty m oto r on sub stantial cast iron base w ith ru b ­ ber feet. Overall dimensions 13% inches long X 11 inches deep X 11% inches high. N et weight 45 lbs., shipping weight 67 lbs

4 2 7 6 -M . L aboratory M ill, W iley In te r m e d ia te M o d e l, as a b o v e d escrib ed . C o m p le te w ith h o p p er 2 in ch es d ia m ete r „•¡ti, j p lu n g e r ; th r e e d e liv e r y t u b e s w ith s ie v e to p s of 2 0 . 4 0 a n d 60 m e sh , r e s p e c tiv e ly e a c h w ith r e r e f t e r „ S ’ V- c o v e !V w o o <ien tw o e x t r a s t a t i o n a r y blades and wreneW fnr ® A v !a c P y 11« r e c e iv e r f o r c o lle c tin g s m a ll s a m p le s ;

e: I.hrPiWleH f 4 „ - : . r- .

. E lobx

A R T H U R H. T H O M A S C O M P A N Y

RETAIL—WHOLESALE—EXPORT

LABORATORY APPARATUS AND REAGENTS

W ES T W A S H IN G TO N SQ UARE, P H IL A D E L P H I A 5, U. S. A.

C able Address “ B alance,” P hiladelphia

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INDUSTRIAL a n d E N G IN E E R IN G CHEMISTRY

P U B L I S H E D BY

T H E A M E R I C A N C H E M I C A L S O C I E T Y W A L T E R J. M U R P H Y ,

E D I T O R

Style Requirements

I n Ap r i l

we discussed editorially the field which the

* An a l y t i c a l Ed i t i o n

should endeavor to include in its coverage, emphasizing its desire to p rin t more papers on evaluation of analytical results, statistical tre a tm e n t of analytical d ata, principles and theory of analytical chem istry, and college training of personnel.

T he

An a l y t i c a l Ed i t i o n

is in position to p rin t all such m aterial prom ptly.

M anuscripts offered for publication differ widely, not only in scientific value b u t in their presentation. Some are well w ritten, logically developed, concisely w ritten, yet giving all necessary details. W hen these m anu­

scripts are typed double space, w ith wide m argins to allow room for directions to the printer, and arc ac­

companied by drawings and photographs from which engravings can be m ade w ithout retouching or reletter­

ing, they gladden the editor’s heart.

Others, however, fail to m eet these specifications, and it is to authors of such papers, as well as to those who have no t previously contributed to our pages, th a t this editorial is directed.

T o be of the g reatest service the scientific- facts m ust be presented in a clear, logical readable m anner.

An im p o rtan t p oint to be kep t in m ind in writing any article is the type of reader to be reached. Readers of the

An a l y t i c a l Ed i t i o n

are. intelligent scientists, who do n o t need schoolbook directions for laboratory pro­

cedure; th ey do need to be given sufficiently explicit directions so th a t they can rep eat the work reported, if need be.

W hen a scientist has work to report in a certain journal—the

An a l y t i c a l Ed i t i o n

or any other—he should familiarize himself w ith th a t jou rn al and model his report on particularly good papers published there.

AMittle tim e devoted to thinking the article through before p u ttin g pen to paper will pay dividends in pro­

ducing a logical, concise, and readable presentation th a t avoids repetition y e t gives all the facts. An outline m ight be set up, for instance, as ( 1 ) why the work was done, w ith a brief reference to previous work, properly docum ented, ( 2 ) a concise account of w hat was done, with all necessary details as to apparatus, reagents, and procedure followed, and (3) the result of the investiga­

tion and conclusions drawn.

A short ab stra ct th a t can be prin ted a t the beginning of the article is a great help to the busy reader, as it enables him to decide a t once w hether to read the article in full then and there, to lay it aside for later atten tio n, or to skip it. as outside his field of interest.

Too m any m anuscripts give th e impression th a t the au tho r has dictated a chronological account of w hat he has done in the laboratory or—worse—has asked bis secretary to copy hand-w ritten notes and then has failed to read the m anuscript over and check it for ac­

curacy. A good secretary will take care of misspelled words and punctuation, b u t cannot always in terp ret carelessly w ritten figures or chemical terms. F ootnotes are too often an indication of sloppy thinking. T he m aterial there given m ight b e tte r be incorporated in the tex t or p erh ap s presented in a separate note.

L iteratu re citations should be carefully checked for accuracy and completeness.

In d u s t r i a l a n d En g i­ n e e r i n g Ch e m i s t r y

p rin ts them a t the end of each article, arranged alphabetically by authors, and w ith corresponding num bers inserted in the te x t a t appropri­

ate places. T he abbreviations used are given in the

“ L ist of Periodicals A bstracted by Chemical Abstracts”.

T he spelling and nom enclature approved by th e

S o ­

c i e t ys

C om m ittee on N om enclature, Spelling, and P ronunciation are followed. T his subject has been re­

cently discussed in the introduction to the 1945 subject index to Chemical Abstracts. T he M erriam W ebster dictionary is followed as th e au th ority for deciding on the spelling of nontechnical words.

Specifications and directions for preparing copy, in­

cluding illustrations, are given in “Suggestions to A uthors” , copies of which will be sent on request to any who are interested. A sum m ary is printed on page 340 of this issue.

H aving a definite bearing on the question of the preparation of chemical papers is w hat seems to be a re­

grettable lack of cooperation between th e departm ents of chem istry and o f English in m ost of our colleges and universities. I f the ability to w rite a clear, concise rep o rt is n o t developed during the college course, i t is acquired only w ith difficulty after graduation. Is no t this a subject th a t should be given greater considera­

tion by our chemical educators?

279

(18)

Improvement of Precision by Repeated M easurem ents

A p p l i c a t i o n to A n a l y t i c a l C ontrol M e t h o d s

J O H N M A N D E L 1 Columbia University, N ew York, N . Y .

This article critically examines replication of measurements as a means of increasing precision. Formulas are provided for evaluating such improvement of precision in any given case and for computing con­

fidence limits in routine analysis.

I

N A previous p aper (2) i t was shown how th e estim ation of th e precision of analytical m ethods can be accom plished by m eans of m odern sta tistic a l theory. T h is article considers in d etail some questions arising in th e stu d y of precision.

W hile th e practice of a t le a s t duplicating every analysis is well established am ong analysts, th e increase in precision th u s brought a b o u t has seldom been considered. H ow ever, th is question appears to be of considerable im portance, as can be inferred from th e following considerations.

In th e practice of routine analysis, i t is custom ary to obtain som e indication a b o u t th e precision of analytical results from the

“ closeness” of th e replicate d eterm inations (generally duplicates) m ade b y th e analyst. In som e cases th e optim istic picture thus obtained is tem pered by th e knowledge, gained through experi­

ence, th a t th is closeness is very often grossly m isleading. M oran (8) has given som e a tte n tio n to th is m a tte r, and has stu d ied it ex­

perim entally on th e basis of d a ta o b tain ed in his laboratories.

H aving found t h a t th e ra tio of th e sta n d a rd deviation of single determ inations to t h a t of averages of duplicates was 1.05—a p ­ preciably less th a n th e th eo retical value \ / 2 for th e case of tru e random determ inations— M oran (8) ascribes th is result to th e fact t h a t “ d u p licate analyses m ade a t th e sam e tim e are n o t truly' random b u t are r a th e r influenced by slig h t v ariations in technique o r surrounding conditions” .

F In a population of variance a 2, th e variance of th e m ean of a random sam ple of n is a-2/ n ; th e corresponding sta n d a rd deviation is th u s c r/V n . T h e ratio m entioned above is, therefore, in the case n = 2, — a— = = V 2 = 1.41 . . .

< r/V 2

M oran calls th is ra tio th e “ ra tio of im provem ent by duplica­

tio n ” . I t seem s preferable to consider th e ra tio of th e variances, th e squares of th e sta n d a rd deviations; th e n th e theoretical value for duplication is sim ply 2; for n-fold replication i t will be n. T h e ad v an tag e lies in th e intuitiveness of th e in terp re­

ta tio n . On th e o th er hand, th e sta n d a rd deviations referred to in M oran’s “ ra tio of im provem ent” a re “ p opulation param ­ ete rs” —i.e., fixed th ough unknow n co n stan ts characterizing th e d istrib u tio n of errors in th e case considered. N ow these q u an ti­

ties being unknown, we s u b s titu te for th em estim ates derived from th e d a ta available; b u t such estim ates are obviously sub­

ject to fluctuations or, in sta tistic a l term inology, to “ sam pling errors” . T hus in considering th e ra tio 1.05 o btained by M oran, it is well to keep in m ind th a t a rep etitio n of th e whole experim ent m ight have given a q u ite different value, perhaps 1.23, w hich is alread y m uch closer to th e num ber 1.41 based on th e hypothesis of random ness. F o r th is reason i t becomes desirable to infer from th e d a ta available n o t only th e estim a te d ratio , b u t also a n evalu­

ation' of th e precision w ith w hich i t is obtained.

T his m a tte r, am ong o th e r things, is discussed in th e following pages; form ulas are given, based on th e th eo ry of statistics, for determ ining various q u an tities w hich are of in te re st in th is con­

n e c tio n . T h e calculations involved in th is ty p e of analysis of

1 P r e s e n t a d d r e ss. T h e B G C o rp o ra tio n , 136 W e s t 5 2 n d S t ., N e w Y o rk , N , Y .

d a ta , w hich will be seen to be simple an d on a n elem entary level, are'described in Section I I I and illu stra te d in Section V I b y m eans of th e d a ta given in M oran’s paper (S). T he read er is, however, strongly urged to give careful consideration to Section I, where th e chemical situ a tio n is described to which th e proposed m ethod is applicable. I t cannot be expected— as i t never can be in th e practical application of theoretical considerations— th a t th e con­

ditions of Section I will be exactly fulfilled. I t is ra th e r a m a tte r of personal ju d g m en t on th e p a r t of th e chem ist to decide w hether th e conditions in his case correspond sufficiently to th e theoretical m odel described to p erm it application of th e p resen t m ethod.

Such subjective ju d g m en t can efficiently be supplem ented by sta tistic a l te s ts of random ness, of equality of precisions, and th e like (cf. 10).. W hile th ese te s ts are valuable in t h a t th ey offer m eans of evaluating in a n objective a n d consistent w ay a v a rie ty of im p o rta n t aspects connected w ith th e precision of an a­

lytical m ethods, th e a u th o r feels t h a t th e y will in general n o t be necessary for th e application of th e m ethod proposed in th is paper, provided th e an aly tical procedure in question is well de­

fined in its various steps. T his po in t is b ro u g h t o u t m ore clearly in th e following discussion.

I. APPLICABILITY O F THE TEST

Suppose t h a t in order to gain q u a n tita tiv e inform ation ab o u t th e behavior of a n an aly tical procedure in routine work, th e re­

search an aly st devises one of the following experim ents:

1. A sam ple, containing v% of th e considered constituent, is stored and analyzed a t regular in terv als! say every m onth, for a period of M m onths, by th e sam e chemist, in Ar-fold replication each m onth. T h e N replicate determ inations are to be perform ed as closely to g eth er as th ey are expected to be m ade in ac tu a l rou­

tin e w'ork. T h u s M series, of N parallel determ inations each, are obtained.

2. A sim ilar experim ent is perform ed, involving several ana­

lysts, w ith th e understanding, however, th a t (a) every series of N replicates is perform ed by one an aly st only; and (6) a random experim ent is perform ed to select th e an aly st for every series.

T h u s if 4 analysts are available, 4 slips of paper, one of w hich is m arked, are thoroughly mixed, a fte r w hich every chem ist draw's one slip; whoever draw s th e m arked slip perform s th e series of analyses for th is m onth, regardless of possible repetitions due to chance.

3. T h e ty p e of experim ent is modified, in t h a t M laboratories are selected a t random (in so far as th is is feasible, considering th eir su itab ility for th e given ty p e of analysis, etc.). In this case it m ay be superfluous to space th e M series in tim e: M sam ples of th e sam e m aterial are se n t sim ultaneously to th e vari­

ous laboratories.

4. A ny sim ilar ty p e of experim ent can be considered, w ith th e tw ofold restriction, however, t h a t (a) only one an aly st m akes th e IV replicates in a given series; an d (6) th e series are m ore or less random w'ith respect to th e facto r w hich is considered to cause m arked discrepancies betw een series, such as laboratory, chem ist, w eath er conditions, etc.

U nder th ese conditions th e following assum ptions are m ade A. T o every series, say th e ith , corresponds a “ population m ean” (w'hich m ay be in terp re ted as th e m ean of all th e analyses, in infinite num ber, w'hich could be perform ed under th e sam e stab ility of conditions as prevailed for th e N analyses actually perform ed in th is series). As pointed o u t b y M oran, one should n o t in general expect th is m to be equal to v, even in th e case of a very accurate m ethod of analysis, since slight vari­

ations in th e surrounding conditions will influence sim ilarly all th e results of th e series.

280

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