Calculations in atomic physics

Be careful. Even simple calculations in atomic physics involve awkward numbers, and slightly obscure methods. Remember eV after a number is the unit of energy called the electron volt. In a relationship, eV is the product of the electronic charge e and a Voltage V.

You will need a list of constants.

1 Particles in fields

a Kinetic energy and/or the velocity of an electron accelerated through a potential difference in Joules.

b The acceleration of an electron in an electric field.

c The path radius for a particle of energy eV, accelerated at right angles to a magnetic field.

d The ratio e/m for an electron accelerated at right angles to a magnetic field.

e The velocity of an electron passing undeflected through crossed fields.

f Cyclotron frequency. [A cyclotron confines an electron to orbit in a circular path with a uniform magnetic field.]

2 The hydrogen atom (Bohr's model)

a Orbital radius for an electron circling a nucleus. [Fictional situation - the electron cannot orbit because it would radiate energy - but remarkably the value of Rydberg's constant is found, and the diameter of the ground state 'orbit' is of the right value.].

b Hydrogen atom energy levels, and ionization energy. [Again, the model is flawed but the calculated ionization energy has the right value.]

c Rydberg's famous empirical formula for the wavelengths of the lines of the hydrogen spectrum. The value of the constant R.

3 Photon energy

a The value of Planck's constant, from stopping voltage and wavelength data for a photocell.

b Photon energy for radiation of known wavelength.

c Minimum X-ray wavelength, given the tube anode voltage.

4 Alpha particles

Closest approach of an alpha particle to a stationary heavy nucleus. 

5 Radioactive decay

a Decay constant to half-life conversion.

b Activity at any time, given the half-life, or the decay constant.

c Energy released during fission (or fusion), from the mass deficit (mass loss).

d The energy equivalence of the mass of the electron in MeV.

6 The de Broglie wavelength

The de Broglie wavelength, for a particle of known momentum.

Test 1.... Test 1a


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