Ch.7 Flashcards
Amplitude
The vertical height of a crest (Or depth of a trough) of a wave; A measure of wave intensity.
Determines the light intensity or brightness— The greater the amplitude, the greater the intensity.
Wave length and amplitude are both related to the quantity of energy carried by a wave.
Waves of a greater amplitude (higher waves) or shorter wavelength (more closely spaced, and the steeper, waves) 
Amplitude and wave length can vary independently of one another. A wave can have a large amplitude or small amplitude and a short wave length or a long wavelength.
The Most energetic wave lengths have large amplitude and short wave lengths. 
Wave length
The distance between adjacent crusts (Or analogous points) of a wave. 
Measured in units such as meters, micrometers, or nanometers. 
The wavelength of light determines its colour. 
Shorter wavelength light inherently has greater energy than long wave length light.
Increase wavelength = less energy —> least energy change = longest wavelength = low frequency = is minimum wavelength
🔺E = hc/ wavelength <— longest ^ Wavelength = |
|smallest energy <————————- /
Change =
|
V
Low frequency
Greatest 🔺E = shortest wavelength = high frequency = is max wavelength
Wave-particle duality
Certain properties of light are best described by thinking of it as a wave, what other properties are best described by thinking of it as a particle.
Frequency
For waves, the number of cycles (or complete wave lengths) that pass through a stationary point in one second
Units are (cycle s^-1) or simply s^-1.
Hertz (Hz) Is an equivalent unit of frequency Defined as 1 cycle s^-1.
The frequency of a wave is directly proportional to the speed at which the wave is travelling— The faster the wave, the more crusts will pass a fixed location per unit time.
Frequency is also inversely proportional to the wavelength— the farther apart the crests, the fewer will pass a fixed location per unit time.
V = c/ “lamb duh”
V is Frequency
c is speed of light
“lamb duh” is wavelength
Colours and their wavelengths
Red light, with a range of wave lengths centre at about 750 nm, has the longest wavelength of visible light.
Violet light, with a range of wave lengths centre at about 400 nm, has the shortest.
Nano = 10^-9
This?
Low frequency light does not eject electrons because no single photon has the minimum energy necessary to dislodge the electron. Increasing the intensity of low frequency light simply increases the number of low energy photons, but does not produce any single photon with sufficient energy.
In contrast, increasing the frequency of a light, even at a low intensity, increases the energy of each photon, allowing the photons to dislodge electrons with no lag time.
As the frequency of light is increased past the threshold frequency, the excess energy of the photon (beyond what is needed to dislodge the electron) is transferred to the electron in the form of kinetic energy. The kinetic energy of the ejected electron, therefore, is the difference between the energy of the photo and the binding energy of the electron. 
Emission spectrum
The range of wavelengths emitted by a particular element; used to identify the element
emission spectrum and discrete lines and stationary states and transitions
When an atom absorbs energy, an electron in a lower energy level is excited or promoted to a higher energy level.
In this new configuration, however, the Atom is unstable, and the electron quickly falls back or relaxes to a lower energy level. As it does so, it releases a photon of light containing an amount of energy precisely equal to the energy difference between the two energy levels. 
The transitions between levels that Are farther apart in energy produce light that is shorter in wave length, and therefore higher energy, then between energy levels that are closer together. 
Closer they are longer the wavelength.
The energy determines the frequency and wavelength of the photon
The formula we can use to determine this is
E = hc/v
Complementary properties
Those properties that exclude one another, I.e., the more you know about one, the less you know about the other. For example, the wave nature and particle nature of electrons are complementary.
When you try to observe which hole the electron goes through (associated with the particle nature of the electron) you lose the interference pattern (associated with the wave nature of the electron).
Position and velocity of the electron are complementary properties.
Position and energy are also complementary properties.
Atomic orbitals
From quantum theory, probability distribution maps for the electrons as they exist within Atoms. 
Orbital
The probability distribution maps for an electron states in which the electron has well defined energy, but not well defined position. In other words, for each state, we can specify the energy of the electron precisely, but not its location at a given instant. Instead, the electrons position as described in terms of an orbital— a probability distribution map showing where the electron is likely to be found. 
These states are known as energy eigenstates.
Orbitals with a higher values of n have greater (less negative) energies. 
As n increases, the spacing between the energy levels becomes smaller.
Orbitals with the same value of n are said to be in the same principle shell (or level). Orbitals with the same value of n and Sabelle (fancy L) are said to be in the same subshell.
•The number of supplements and any level is equal to n, The principal quantum number. Therefore, n = 1 level has 1 sublevel, n=2 has 2.
•The number of orbitals in any Sublevel is equal to 2L + 1. Therefore, s sublevel (L = 0) has 1 orbital, p sublevel (L =1) has 3, d sublevel (L = 2) had 5. Etc
•The number of orbitals in a level is equal to n^2. n = 1 has 1 orbital, n=2 has 4. n=3 has 9. Etc
Because the magnitude of the overall weight functions falls off (or decreases) more slowly due to the exponential term as n increases, the orbitals increase in size as n increases.
As the energy of an orbital increases(s<p<d<f), the number of non-spiracle nodes also increases. The effect on the shape of the orbital is to increase the number of nodes in the contour diagram. Thus, an S orbital is symmetric, a P orbital is bisected into two symmetrical lobes, And so on with orbitals of higher energy.
Quantum numbers
Principal quantum number (n):
An integer that specifies the overall size and energy of an orbital. The higher the quantum number, n, the greater the average distance between the electrons and the nucleus and the higher its energy. The energy is negative because the electrons energy is lowered (made more negative) by it’s interaction with the nucleus.
Angular momentum quantum number (l):
An integer that determines the shape of an orbital.
Magnetic quantum number (m subscript l):
An integer that specifies the orientation of an orbital. 
Spin quantum number ( m sub s): Denotes the electrons spin as either 1/2 (up arrow) or -1/2 (down arrow).
How to identify the four quantum numbers for an element.
1) Find the element on the periodic table.
2) Determine n and L by identifying the period and the block that the element is located in.
3) Determine mL by labelling the block from -1 to +1.
4) Determine ms by determining if the element is in the first or second half of the block.
5) Put all of the information together to list for quantum numbers for an element last valence electron. 
Probability density
Probability per unit volume of finding the electron at a point in space as expressed by a three-dimensional plot of the way function squared. 
Hi got density near the nucleus at the centre of the plot indicates a higher probability density for the electron there. As you move away from the nucleus, the probability density increases. 
Radical distribution function and nodes (Radical And angular)
Function that represents the total probability of finding an electron within a thin spherical shell at a distance r from the nucleus.

Represents the total probability at a radius r. In contrast to probability density, which has a maximum at the nucleus, the radical distribution function has a value of zero at the nucleus.
A point where the wave function and therefore the probability density and radical distribution function, Will go through zero. The probability of finding the electron add a node is zero.
Radical/Spherical: Spherical region in which there is zero probability of finding an electron. The number of radical nodes is calculated by taking the difference between the principal quantum number, n, and the angular momentum quantum number, L, and then subtracting one from this difference. # of radical nodes = n - L - 1

Angular: a plane or surface where there is zero possibility of finding an electron.
Electron configuration
A notation that shows the particular orbitals that are occupied by electrons in an atom.
Electrons generally occupied lowest energy orbitals available. 
To write an electron configuration for an element, first find it’s atomic number from the periodic table this number equals the number of electrons. Then use the order of filling to distribute the electrons in the appropriate orbitals. Remember that each orbital can hold a maximum of two electrons. Consequently,
•The S sublevel has only one orbital and can therefore hold only two electrons
•The P sub level has three orbitals and can hold six electrons.
•The D sub level has five orbitals and can hold 10 electrons.
•The sub level has seven orbitals and can hold 14 electrons. 
Ground state
The lowest energy state
Electron spin
Fundamental property of electrons; can have a value of + or - 1/2. M subscript s
2 fundamental aspects of electrons spin:
1. Spin, like negative electrical charge, it’s a basic property for all electrons. One electron does not have more or less spend another all electrons had the same amount to spin.
2. The orientation of the electron spin is quantized, with only two possibilities that we can call spin up and spin down.

Pauli Exclusion principle
The principal that no 2 electrons in an atom can have the same 4 quantum numbers.
Since two electrons occupying the same orbital have three identical quantum numbers (n, L, m subscript L), they must have different spin quantum numbers (+ or - 1/2). Since there are only two possible spin quantum numbers, the principal implies that each orbital can have a maximum of two electrons, with opposing spins.
Degenerate
A term describing two or more electron orbitals with the same value of n that had the same energy.
For example, 3S, 3P, and 3D orbitals (which are all empty for hydrogen in its lowest energy state) all have the same energy, so they are degenerate.
The orbitals within a principle level of a multielectron atom, in contrast, are not degenerate— their energy depends on the value of L. We say that the energies of the sub levels are split. In general, the lower the value of L within a principal level, the lower the energy of the corresponding orbital. Thus, for a given value of n: 
E(s orbital) < E (p) < E (d) < E (f)