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What is the Rydberg formula for any hydrogen-like chemical elements?

In atomic physics, The Rydberg formula is used to describe the wavelengths of spectral lines of many chemical elements.

The modified Rydberg formula given below is used for any hydrogen-like chemical elements.

λvac= the wavelength of the light emitted in vacuum;

R = the Rydberg constant for this element;

Z = the atomic number, i.e. the number of protons in the atomic nucleus of this element;

n1and n2= integers such that n1< n2, corresponding to the principal quantum numbers of the orbitals occupied before and after.

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What is the Rydberg formula for hydrogen element?

In atomic physics, The Rydberg formula is used to describe the wavelengths of spectral lines of many chemical elements.

The modified Rydberg formula given below is used for hydrogen element.

 

Rydberg formula for hydrogen element

λvac = the wavelength of the light emitted in vacuum;

R = the Rydberg constant for this element;

n1 and n2 = integers such that n1< n2, corresponding to the principal quantum numbers of the orbitals occupied before and after.

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What is the equation for photon energy?

The energy carried by a single photon with a certain electromagnetic wavelength and frequency is the photon energy. The higher the photon’s frequency higher its energy, and longer the photon’s wavelength, the lower its energy. Photon energy is directly proportional to its photon frequency and inversely proportional to its photon’s wavelength.

The equation for photon energy is given as,

E = hc / λ

E = the photon energy

h = the Planck constant

c = the speed of light in vacuum

λ = the photon’s wavelength.

 

The photon energy changes with direct relation to wavelength ‘λ’ as h and c are both constants.

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What is the formula for Potential energy of an electron in the nth orbit?

In physics, the potential energy is energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors.

The formula for Potential energy of an electron in the nth orbit is given as,

P.E. = -me4 / 4πε02n2h2

ε0 = permittivity of free space

e = Charge on an electron (1.6 x 10–19 C)

n = positive integer

m= mass of an electron

h = Planck’s constant

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What is the formula for Potential energy of an electron?

In physics, the potential energy is energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors.

P.E. = -e2 / 4πε0r = m e4 / 4 ε02 n2 h2

ε0 = permittivity of free space

e = Charge on an electron (1.6 x 10–19 C)

r = radius of the orbit of an electron

m= mass of an electron

n = positive integer

h = Planck’s constant

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