788 PROF. W. H. 31ILLER ON THE CONSTRUCTION OF THE NEW STANDARD POUND. 
Table V. 
Logarithms of the ratio of the density of platinum at 0° to its density at and their 
arithmetical complements, assuming the coefficient of the linear expansion of 
platinum to be 0"00000900. 
i . 
log P. 
10-logP. 
t . 
logP. 
10-log P. 
0 
0-0000000 
10-0000000 
16 
0-0001876 
9*9998124 
1 
0-0000117 
9*9999883 
17 
0-0001993 
9*9998007 
2 
0-0000235 
9-9999765 
18 
0-0002110 
9*9997880 
o-i 
12 
3 
0-0000352 
9*9999648 
19 
0-0002227 
9*9997773 
0-2 
23 
4 
0-0000469 
9*9999531 
20 
0-0002345 
9*9997655 
0*3 
35 
5 
0-0000586 
9*9999414 
21 
0-0002462 
9*9997538 
0*4 
47 
6 
0-0000704 
9*9999296 
22 
0-0002579 
9*9997421 
0*5 
59 
7 
0-0000821 
9*9999179 
23 
0-0002696 
9*9997304 
0*6 
70 
8 
0-0000938 
9*9999062 
24 
0-0002813 
9*9997187 
0-7 
82 
9 
0-0001055 
9*9998945 
25 
0-0002931 
9*9997069 
0*8 
94 
10 
0-0001173 
9*9998828 
26 
0-0003048 
9*9996952 
0-9 
105 
11 
0-0001290 
9*9998710 
27 
0-0003165 
9*9996835 
12 
0-0001407 
9*9998593 
28 
0*0003282 
9*9996718 
13 
0-0001524 
9*9998476 
29 
0-0003.399 
9*9996601 
14 
0-0001641 
9*9998359 
30 
0-0003516 
9*9996484 
15 
0-0001759 
9-9998241 
Expansion of Water. 
The latest and best observations for determining the expansion of water by heat, 
are those of Stampfer*, Despretz'^, Pierre tabulated by Frankenheim §, Kopp||, 
and Plucker and Geissler^. The observations of Hallstrom and Muncke are not 
included in this list, on account of certain sources of error pointed out by Despretz. 
The following Table exhibits the ratios of the maximum density of water to its 
density at f C, according to the different observers above mentioned. 
t . 
Stampfer. 
Despretz. 
Pierre. 
Kopp. 
Plucker and Geissler. 
Min. 
1-000000 
1-0000000 
1-0000000 
1-000000 
1-000000 
5 
1-000012 
1-0000082 
1-0000091 
1-000006 
1-000013 
6 
1-000038 
1-0000309 
1-0000336 
1-000026 
1-000038 
7 
1-000079 
1-0000708 
1-0000716 
1-000061 
1-000079 
8 
1-000135 
1-0001216 
1-0001232 
1-000109 
1-000134 
9 
1-000205 
1-0001879 
1-0001882 
1-000171 
1-000204 
10 
1-000289 
1-0002684 
1-0002670 
1-000247 
1-000287 
11 
1-000387 
1-0003598 
1-0003580 
1-000336 
1-000381 
12 
1-000497 
1-0004723 
1-0004608 
1-000437 
1-000495 
13 
1-000620 
1-0005862 
1-0005745 
1-000552 
14 
1-000757 
1-0007146 
1-0007065 
1-000679 
15 
1-000906 
1-0008751 
1-0008463 
1-000818 
16 
1-001066 
1-0010215 
1-0009972 
1-000969 
17 
1-001239 
1-0012067 
1-0011592 
1-001133 
18 
1-001422 
1*00139 
1-0013320 
1-001307 
19 
1-001617 
1-00158 
1-0015153 
1*001493 
20 
1-001822 
1-00179 
1-0017128 
1-001690 
21 
1-002039 
1-00200 
1-0019185 
1-001899 
22 
1-002265 
1-00222 
1-0021296 
1-002118 
23 
1-002502 
1-00244 
1-0023498 
1-002348 
24 
1-002749 
1-00271 
1 0025836 
1-002588 
25 
1-003005 
1-00293 
1-0028263 
1-002838 
* Jalirbiicher des k. k. polytechnischen Institutes in Wien, B. xvi. S. 1. 
t Annales de Chimie et de Physique, 1839, 2™® serie, tome Ixx. p. 47. 
X Ibid. 1845, 3"’^ sme, tome xv. p. 350. § Poggendorff’s Annalen, B. Ixxxvi. S. 451. 
y Ibid. B. Ixxii. S. 1. ^ Ibid. B. Ixxxvi. S. 238. 
