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

calculate molarity of NaOH solution when 25.0ml of NaOH titrated with 27.2ml of 0.2m H2SO4

Gasin Reply

what's Thermochemistry

rhoda Reply

the study of the heat energy which is associated with chemical reactions

Kaddija

How was CH4 and o2 was able to produce (Co2)and (H2o

Edafe Reply

explain please

Victory

First twenty elements with their valences

Martine Reply

what is chemistry

asue Reply

what is atom

asue

what is the best way to define periodic table for jamb

Damilola Reply

what is the change of matter from one state to another

Elijah Reply

what is isolation of organic compounds

IKyernum Reply

what is atomic radius

ThankGod Reply

Read Chapter 6, section 5

Kareem

Atomic radius is the radius of the atom and is also called the orbital radius

Kareem

atomic radius is the distance between the nucleus of an atom and its valence shell

Amos

Read Chapter 6, section 5

paulino

Bohr's model of the theory atom

Ayom Reply

is there a question?

when a gas is compressed why it becomes hot?

ATOMIC

It has no oxygen then

Goldyei

read the chapter on thermochemistry...the sections on "PV" work and the First Law of Thermodynamics should help..

Which element react with water

Mukthar Reply

Mgo

Ibeh

an increase in the pressure of a gas results in the decrease of its

Valentina Reply

definition of the periodic table

Cosmos Reply

What is the lkenes

Da Reply

what were atoms composed of?

Moses Reply

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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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