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c
speed of light
λ
wavelength
ν
frequency
E
energy
h
Planck's constant
light equation
c = λν
photon-energy equation
E = hν
energy-wavelength equation
E = hc/λ
speed of light constant
c = 3.00 x 10^8 m/s
Planck's constant
h = 6.63 x 10^-34 J·s
nanometer conversion
1 nm = 10^-9 m
micrometer conversion
1 μm = 10^-6 m
hydrogen energy-level equation
E_n = -(2.18 x 10^-18 J)/n^2
hydrogen energy change
ΔE = E_final - E_initial
electron moves up in n
absorbs energy; ΔE is positive
electron moves down in n
emits energy; ΔE is negative
wavelength from emitted or absorbed energy
λ = hc/|ΔE|
s subshell
l = 0; 1 orbital; 2 e^-
p subshell
l = 1; 3 orbitals; 6 e^-
d subshell
l = 2; 5 orbitals; 10 e^-
f subshell
l = 3; 7 orbitals; 14 e^-
m_l
every integer from -l through +l
m_s
+1/2 or -1/2
number of orbitals in a subshell
2l + 1
electron-filling order through 4p
1s -> 2s -> 2p -> 3s -> 3p -> 4s -> 3d -> 4p
Hund's rule
fill equal-energy orbitals singly before pairing
cation (+)
loses electrons
anion (-)
gains electrons
noble-gas shorthand
replace the completed inner configuration with the previous noble gas in brackets
chromium electron-configuration exception
[Ar] 3d^5 4s^1