0.3 Fundamental constants

University physics volume 1 Page 1 / 1

Note: These constants are the values recommended in 2006 by CODATA, based on a least-squares adjustment of data from different measurements. The numbers in parentheses for the values represent the uncertainties of the last two digits.

Fundamental constants
Quantity	Symbol	Value
Atomic mass unit	u	$\begin{matrix} 1.660 538 782 (83) \times 10^{−27} kg \\ 931.494 028 (23) MeV/ c^{2} \end{matrix}$
Avogadro’s number	$N_{A}$	$6.022 141 79 (30) \times 10^{23} particles/mol$
Bohr magneton	$μ_{B} = \frac{e ℏ}{2 m_{e}}$	$9.274 009 15 (23) \times 10^{−24} J/T$
Bohr radius	$a_{0} = \frac{ℏ^{2}}{m_{e} e^{2} k_{e}}$	$5.291 772 085 9 (36) \times 10^{−11} m$
Boltzmann’s constant	$k_{B} = \frac{R}{N_{A}}$	$1.380 650 4 (24) \times 10^{−23} J/K$
Compton wavelength	$λ_{C} = \frac{h}{m_{e} c}$	$2.426 310 217 5 (33) \times 10^{−12} m$
Coulomb constant	$k_{e} = \frac{1}{4 π ε_{0}}$	$8.987 551 788... \times 10^{9} N \cdot m^{2} {/C}^{2} (exact)$
Deuteron mass	$m_{d}$	$\begin{matrix} 3.343 583 20 (17) \times 10^{−27} kg \\ 2.013 553 212 724 (78) u \\ 1875.612 859 MeV/ c^{2} \end{matrix}$
Electron mass	$m_{e}$	$\begin{matrix} 9.109 382 15 (45) \times 10^{−31} kg \\ 5.485 799 094 3 (23) \times 10^{−4} u \\ 0.510 998 910 (13) MeV/ c^{2} \end{matrix}$
Electron volt	eV	$1.602 176 487 (40) \times 10^{−19} J$
Elementary charge	e	$1.602 176 487 (40) \times 10^{−19} C$
Gas constant	R	$8.314 472 (15) J/mol \cdot K$
Gravitational constant	G	$6.674 28 (67) \times 10^{−11} N \cdot m^{2} {/kg}^{2}$
Neutron mass	$m_{n}$	$\begin{matrix} 1.674 927 211 (84) \times 10^{−27} kg \\ 1.008 664 915 97 (43) u \\ 939.565 346 (23) MeV/ c^{2} \end{matrix}$
Nuclear magneton	$μ_{n} = \frac{e ℏ}{2 m_{p}}$	$5.050 783 24 (13) \times 10^{−27} J/T$
Permeability of free space	$μ_{0}$	$4 π \times 10^{−7} T \cdot m/A (exact)$
Permittivity of free space	$ε_{0} = \frac{1}{μ_{0} c^{2}}$	$8.854 187 817... \times 10^{−12} C^{2} / N \cdot m^{2} (exact)$
Planck’s constant	h $ℏ = \frac{h}{2 π}$	$\begin{matrix} 6.626 068 96 (33) \times 10^{−34} J \cdot s \\ 1.054 571 628 (53) \times 10^{−34} J \cdot s \end{matrix}$
Proton mass	$m_{p}$	$\begin{matrix} 1.672 621 637 (83) \times 10^{−27} kg \\ 1.007 276 466 77 (10) u \\ 938.272 013 (23) MeV/ c^{2} \end{matrix}$
Rydberg constant	$R_{H}$	$1.097 373 156 852 7 (73) \times 10^{7} m^{−1}$
Speed of light in vacuum	c	$2.997 924 58 \times 10^{8} m/s (exact)$

Useful combinations of constants for calculations:

$h c = 12,400 eV \cdot Å = 1240 eV \cdot nm = 1240 MeV \cdot fm$

$ℏ c = 1973 eV \cdot Å = 197.3 eV \cdot nm = 197.3 MeV \cdot fm$

$k_{e} e^{2} = 14.40 eV \cdot Å = 1.440 eV \cdot nm = 1.440 MeV \cdot fm$

$k_{B} T = 0.02585 eV at T = 300 K$

Questions & Answers

Why is b in the answer

Dahsolar Reply

how do you work it out?

Brad Reply

answer

Ernest

heheheehe

Nitin

(Pcos∅+qsin∅)/(pcos∅-psin∅)

John Reply

how to do that?

Rosemary Reply

what is it about?

Amoah

how to answer the activity

Chabelita Reply

how to solve the activity

Chabelita

solve for X,,4^X-6(2^)-16=0

Alieu Reply

x4xminus 2

Lominate

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harish Reply

t he silly nut company makes two mixtures of nuts: mixture a and mixture b. a pound of mixture a contains 12 oz of peanuts, 3 oz of almonds and 1 oz of cashews and sells for $4. a pound of mixture b contains 12 oz of peanuts, 2 oz of almonds and 2 oz of cashews and sells for $5. the company has 1080

ZAHRO Reply

If  , , are the roots of the equation 3 2 0, x px qx r     Find the value of 1  .

Swetha Reply

Parts of a pole were painted red, blue and yellow. 3/5 of the pole was red and 7/8 was painted blue. What part was painted yellow?

Patrick Reply

Parts of the pole was painted red, blue and yellow. 3 /5 of the pole was red and 7 /8 was painted blue. What part was painted yellow?

Patrick

how I can simplify algebraic expressions

Katleho Reply

Lairene and Mae are joking that their combined ages equal Sam’s age. If Lairene is twice Mae’s age and Sam is 69 yrs old, what are Lairene’s and Mae’s ages?

Mary Reply

23yrs

Yeboah

lairenea's age is 23yrs

ACKA

Katleho

Ello everyone

Katleho

Laurene is 46 yrs and Mae is 23 is

Solomon

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christopher

age does not matter

christopher

solve for X, 4^x-6(2*)-16=0

Alieu

prove`x^3-3x-2cosA=0 (-π<A<=π

Mayank Reply

create a lesson plan about this lesson

Rose Reply

Excusme but what are you wrot?

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Source: OpenStax, University physics volume 1. OpenStax CNX. Sep 19, 2016 Download for free at http://cnx.org/content/col12031/1.5

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