## Sample Question: Electron Spin and Orbital Angular Momentum

From atomic structure we know an electron can only have has an intrinsic spin vector of s = 1/2. From quantum mechanics the magnitude of the spin vector is ׀s׀ is, where h (h bar)…

From atomic structure we know an electron can only have has an intrinsic spin vector of s = 1/2. From quantum mechanics the magnitude of the spin vector is ׀s׀ is, where h (h bar)…

A cation of charge q travelling with a velocity v enters a magnetic field B at right angles (θ = 90°) to the field and experiences a magnetic force FM which is the vector product,…

Methane is tetrahedral, that is it fits inside a cube with the carbon atom at the intersection of any two diagonals, which is at the origin (0, 0, 0), above Figure. Two hydrogen atoms sit…

(a) Write down the Hiickel secular determinant for the four C-atoms of cyclobutadiene in terms of x, where x = (α – E)/ β. (b) Solve the secular determinant for x and then rewrite the…

As vectors have magnitude and direction, the first thing to decide is the direction of the dipole. The electric dipole moment (or just dipole moment) μ (mu) is modelled as two equal but opposite charges…

It is possible to arrange molecules so that the bond dipoles all point in a particular direction. Below Figure shows the alignment of carbonyl bonds in a sample. The magnitude of the carbonyl dipole moment…

A time of flight (TOF) mass spectrometer is sketched below- The TOF MS is all under a vacuum. A pulsed laser fires a pulse of light onto a sample plate causing a pulse of ions…

The magnitudes of the four hydrogen halide dipoles are given below. Firstly, using vector notation, express the magnitudes of the HF, HBr and the HI dipoles as scalar multiples of the HCI dipole magnitude. Secondly,…

(a) Write down the Hiickel secular determinant for the cyclic three C-atoms in terms of x, where x = (α – E)/β. (b) Solve the secular determinant for x and then rewrite the solution in…

(a) Write down the Hiickel secular determinant for the four C-atoms of butadiene in terms of x, where x = (α – E)/β. (b) Solve the secular determinant for x and then rewrite the solutions…

=> Write down the Hiickel secular determinant for the acyclic three C-atoms in terms of x, where x = (α – E)/ β. => Solve the secular determinant for x and then rewrite the solution…

A student in their lab dass measured the following spectroscopic data for some pure samples of three indicators thymol blue (TB), semithymol blue (STB) and methylthymol blue (MTB), below Figure. Rewrite the data in matrix…

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