Atoms and Quanta Equations

The True size of the nucleus

Ampere’s Law (equation)

Wavelength Range of visible light

400nm to 700nm

Frequency range of visible light

400THz to 700THz

Intensity of black body radiation

Power Radiated by a black body

wavelength at which emitted intensity of a black body is maximum

The energy of each quanta in a thermal equation

The maximum kinetic energy of electrons

Einstein’s stopping potential

linear momentum of an incoming photon

Change in peak wavelength of scattered X-rays

De broglie wavelength

Heisenberg uncertainty principle for momentum

Heisenberg uncertainty principle for Energy

Kinetic energy of an electron in terms of potential difference

The principal quantum number n (the energy levels of a bound electron)

Balmer series formula for wavelength of the spectral lines of hydrogen

Rydberg formula for general formula for the spectral lines of H

values of n2 in Rydberg series to give the Balmer series or Lyman series

2 and 1 respectively

Bohr radius a0

Bohrs claim about angular momentum of the orbiting electron

Schrodinger equation energy for an orbiting electron

magnitude angular momentum of orbiting electron

probability density of an electron being located in a shell

z component of the angular momentum of an orbiting electron

The uncertainty principle for the angular momentum of an orbiting electron

where Lz is the z component of angular momentum and phi is the angle the resultant of the Ly and Lx components made with x-axis

The magnitude of the magnetic dipole moment of the orbit of the electron (mu)

i = conventional current - current that flows in the opposite direction to the electrons, A = area enclosed by orbit path

magnitude of the intrinsic spin (angular momentum) of an electron

z component of the intrinsic spin

magnitude of the magnetic dipole moment due to spin

Change in energy level due to fine structure splitting

Spin-orbit coupling

spin orbit coupling magnitude

number of electrons per shell (according to Pauli Exclusion Principal)

Ionisation energy after electron screening

selection rules for optical transitions and Zeeman Splitting

energy of K_alpha transition in an atom

Moseley’s Law

selection rules for X-ray spectra