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Key Equations

Resource ID: 5xcgDyHJ@8.1

Grade Range: PreK - 12

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Key Equations

Key Equations

energy of hydrogen electron in an orbital	$E_{n} = - \frac{13.6 eV}{n^{2}} (n = 1, 2, 3, ...)$
energy of any hydrogen-like electron in orbital	$E_{n} = \frac{Z^{2}}{n^{2}} E_{o} (n = 1, 2, 3, ...)$
wavelength of light emitted by an electron changing states	$\frac{1}{λ} = R (\frac{1}{n_{f}^{2}} - \frac{1}{n_{i}^{2}})$
wavelength of an orbital	$n λ_{n} = 2 π r_{n} (n = 1, 2, 3, ...)$
heisenberg’s uncertainty principle	$Δ x Δ p \geq \frac{h}{4 π}$

alpha decay equation	${}_{Z}^{A}X_{N} \to {}_{Z - 2}^{A - 4}Y_{N} + {}_{2}^{4}H e_{}$
beta decay equation	${}_{Z}^{A}X_{N} \to {}_{Z + 1}^{A}Y_{N - 1} + e + v$
gamma decay equation	${}_{Z}^{A}X_{N} \to X_{N} + γ$

radioactive half-life

N = N_{O} e^{- λ t}

energy–mass conversion	$E = m c^{2}$
proton-proton chain	$2 e− + 4^{1} H \to 4 He + 2 v_{e} + 6 γ$

roentgen equivalent man

rem = rad \times RBE