6. Sodium street lamps emit a warm, yellow light (λ = 587.6 nm) due to electronic excitation of sodium vapor. Propose the electron configuration for sodium's 1st excited state. What is the molar energy required for this transition at room temperature? What would the temperature need to be to thermally induce these transitions?

If two wavefunctions, y(x) and ø(x), are orthogonal, this means that they have the following property: O ∞ S 88 y* (x) (x) dx = 1 8 8 S*~*\x{x}³² dx = S*®* [p{x}³² dx=1 |y(x) | (x) – 8 – 8 Soy 88 y* (x) Q(x) dx=0 y* (x) q (x) dx=1

How much energy in joules is required to change the energy state of the H-atom electron from n= 1 to n= 2? From n = 1 to n = 4? From n = 1 to infinity? What are the wavelengths of these transitions? The frequencies?

Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number ({), the magnetic quantum number (mp), and the spin quantum number (m,) have strict rules which govern the possible values. Identify all allowable combinations of quantum numbers for an electron. n = 4, l = 0, me = 1, m, = – n = 6, l = 6, me 1, mş = - п%3D 3, е %3D 2, те — — 1, m, — + n = 3, l = -2, mẹ = -1, m, = - 2 n = 5, l = 1, me = 0, m, = + O n = 2, € = 0, mẹ = 0, mş = –1