[HP Prime] Constants Library Values Message #1 Posted by Timothy Roche on 30 Oct 2013, 8:47 p.m.
Posting this with the hope that the powers that be will see it and include/update the existing constants library of the HP Prime Graphing Calculator.
HP Prime — Fundamental Physical Constants
(Source: 2010 CODATA which may be found at NIST Constants page )
The physical constants list in the HP Prime Constants library ([Shift] [Units] [Const]) is based on the 2006 CODATA values and is out of date. These values have now been superseded by the 2010 CODATA values. Nearly all of the accepted values for these frequently-used, physical constants have been altered in the most recent iteration of CODATA. This is a consequence of the continued efforts for increased precision through new and improved measurements and a more fundamental effort to reorganize the world’s measurement units-—in a way that will produce an absolute system of measurement. (For an entertaining and detailed review of the historic quest for an absolute system of measurement I recommend reading World in the Balance by Robert P. Crease.)
Here (below) are the values as they should be listed in the HP Prime’s Constants Library if it were to use the 2010 CODATA values. Where appropriate, values are reported with 16 significant digits (the same number internally stored in the WP 34s). If the HP Prime can store numbers with an excess of 12 significant digits that should certainly be done. I have also included units: should not the Constants library display units also?
Chemistry
NA = 6.022 141 29 E23 [Avogadro constant]
k = 1.380 6488 E-23 (J K^-1) [Boltzmann constant k=R/NA]
V_m = 22.413 968 E-3 (m3 mol^-1) [molar volume of ideal gas Vm=RT/p, where T=273.15 K, p=101.325 kPa]
R = 8.314 4621 (J mol-1 K^-1) [molar gas constant]
Std_T = 273.15 (K) [standard temperature]
Std_P = 101.325 (kPa) [standard pressure]
Physics
sigma = 5.670 373 E-8 (W m^-2 K^-4) [Stefan-Boltzmann constant]
c = 299 792 458 (m s^-1) [speed of light in vacuum, exact]
epsilon_0 = 8.854 187 817 620 393 … E-12 (F m^-1) [electric constant , exact]
mu_0 = 12.566 370 614 359 17 … E-7 (N A^-2) [magnetic constant, exact]
g = 9.806 65 (m s^-2) [standard acceleration of gravity]
G = 6.673 84 E-11 (m3 kg^-1 s^-2) [Newtonian constant of gravitation]
Quantum
h =6.626 069 57 E-34 (J s) [Planck constant]
hbar = 1.054 571 726 E-34 (J s) [reduced Planck constant or Dirac constant]
q = 1.602 176 565 E-19 (C) [electron charge q=e]
me = 9.109 382 91 E-31 (kg) [electron mass]
qme = 1.758 820 088 E11 (C kg^-1) [electron charge to mass quotient]
mp = 1.672 621 777 E-27 (kg) [proton mass]
mpme = 1 836.152 672 45 [proton-electron mass ratio]
alpha = 7.297 352 5698 E-3 [fine-structure constant]
Phi = 2.067 833 758 E-15 (Wb) [magnetic flux quantum]
F = 96 485.3365 (C mol^-1) [Faraday constant]
R_infinity = 10 973 731.568 539 (m^-1) [Rydberg constant]
a_0 = 0.529 177 210 92 E-10 (m) [Bohr radius]
mu_B = 927.400 968 E-26 (J T^-1) [Bohr magneton]
mu_N = 5.050 783 53 E-27 (J T^-1) [nuclear magneton]
lambda_0 = 1 239.841 929 200 421 (nm) [1eV-photon wavelength]
f_0 = 2.417 989 349 604 730 E14 (Hz) [1eV-photon frequency]
lambda_C = 2.426 310 2389 E-12 (m) [Compton wavelength of an electron]
Note: I have used the digit-grouping number format as spelled out in the NIST Guide to SI (section 10.5.3):
Quote:
10.5.3 Grouping digits
Because the comma is widely used as the decimal marker outside the United States, it should not be used to separate digits into groups of three. Instead, digits should be separated into groups of three, counting from the decimal marker towards the left and right, by the use of a thin, fixed space. However, this practice is not usually followed for numbers having only four digits on either side of the decimal marker except when uniformity in a table is desired.
Examples:
76 483 522 but not: 76,483,522
43 279.168 29 but not: 43,279.168 29
8012 or 8 012 but not: 8,012
0.491 722 3 is highly preferred to: 0.4917223
0.5947 or 0.594 7 but not: 0.59 47
8012.5947 or 8 012.594 7 but not: 8 012.5947 or 8012.594 7
Note: The practice of using a space to group digits is not usually followed in certain specialized applications, such as engineering drawings and financial statements.
This would be a good method to improve legibility of larger and smaller numbers on the HP Prime in lieu of incorporating a digit grouping character. I would also like to see the leading zero return for decimal fractions.
Tim
Edited: 30 Oct 2013, 8:52 p.m.
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