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Explore the arrangement of electrons in atoms and how to probe them using light. Learn about the electromagnetic spectrum, the photoelectric effect, and quantum numbers.
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Electronic Structures of Atoms Where are the e-’s located and how are they arranged?
How can we probe an atom to find out? “Let’s use light.”
Light travels in waves: wavelength () frequency: how many wavelengths pass through a fixed point each second. cycles/sec = Hertz (Hz) = 1/s = s-1
c = frequency (s-1 or 1/s) (cycles per s or hz) wavelength speed of light: 3.00 x 108 m/s Calculate the frequency of red light having a wavelength of 700 nm. = ____ s 4.28 x 1014 700 x 10-9 m or 4.28 x 1014 s-1
Light travels in waves: Which wavelength has the most energy?
Photoelectric effect: e- Metal surface Light of the right frequency (energy) can strike a metal and cause an electron to be ejected (n = infinity).
The nucleous The first layer of e-’s e
“Energy is quantized” “light energy particles are called photons” E = h frequency Planck’s constant = 6.63 x 10-34 J•s Energy
c = frequency (s-1 or 1/s) (cycles per s or hz) wavelength speed of light: 3.00 x 108 m/s E = h frequency = 6.63 x 10-34 J•s Planck’s constant Energy Together they lead to:
Calculate the energy of red light vs. blue light. red light: 700 nm blue light: 400 nm red: blue: E = 2.85 x 10-19 J E = 4.96 x 10-19 J sunburn????? uv
Hydrogen only four lines are observed
Paschen series infrared Balmer series (visible) Lyman series (ultraviolet)
RH = 2.18 x 10-18 J Rydberg constant Can be used to find the energy between levels.
Quantum Numbers: type values meaning 1,2,3,etc shell (period) n = principle quantum no. subshell l = angular momentum quant. # or azimuthal q# 0,1,2,3... s,p,d,f,g,h.. 0,1,2,3,.. ml = magnetic q. # orbital ½ spin ms = spin q. # These 4 Quantum numbers give the general location of electrons within an atom and the general shape of the orbital in which they reside.
It is really an address system to write to electrons.
If you become frightened, close your eyes and repeat: “It’s only model” until you are once again calm.
n = 4, l = 2, ml = +2 n = 4, l = 0, ml = 0 n = 2, l = 1, ml = -1
n = 4 n = 3 n = 2 n =1 ml =-3,-2,-1,0,1,2,3 l = 3 l = 2 l = 1 l = 0 ml =-2,-1,0,1,2 ml =-1,0,1 ml =0 l = 2 l = 1 l = 0
Each compartment (orbital) can only hold two electrons. Pauli exclusion principle: no 2 e-’s in the same atom can have the same 4 quantum numbers. Hund’s rule: each orbital of a subshell will get 1 e- of parallel spin before they are paired. n = 2, l =1, ml =+1, ms = -1/2
Filling Orders let’s use the periodic table to write out filling orders.