Ch 10 Notes: Modern Atomic Theory

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Ch 10 Notes: Modern Atomic Theory

Ch 10 Notes: Modern Atomic Theory

Download notes on History of Atomic Theory. You should be familiar with these models: Greek model (Democritus), Dalton model, Thompson (Plum Pudding) model, Rutherford model, Bohr model, Wave-Mechanical model.

10.1 Rutherford’s Atom

Our understanding of atoms has changed over the past 2400 years:

It started with Democritus’ philosophical idea of the ultimately small piece of matter that cannot be further subdivided.

Over 2000 years later Dalton’s atomic theory was useful in explaining how compounds have a constant composition and how matter is neither created nor destroyed in chemical reactions, only rearranged. Dalton’s atom was also indivisible.

Thompson went on to show the atom was composed of parts. He discovered the negatively-charged electron and determined, logically, that there must also be a positively-charged component to the atom. His model of the atom, though, was not very accurate.

Rutherford’s experiments confirmed the existence of relatively heavy positively-charged protons located in the tiny, dense nucleus of the atom with the far less massive electrons orbiting in a large volume of space around the nucleus. He also proposed the existence of neutrons, later discovered by Chadwick. Rutherford’s atom (see fig 10.1) was mostly empty space and in some versions is still the popular model of the atom we have today. However, his model did not demonstrate how the electrons could remain in stable orbits around the nucleus. They should fall towards the protons in the nucleus atom and merge with it, thereby collapsing the atom.

To understand the model of the atom further requires knowledge of light and how it transmits energy.

10.2Electromagnetic Radiation (EMR)

EMR is energy transmitted from one place to another by light. The fundamental unit of light is the photon. There are many forms of EMR: gamma rays, x-rays, UV rays, visible light, infra-red rays, microwaves, radio waves (see fig. 10.4). Human eyes can only see a small portion of this spectrum – the visible light part.

EMR has both particle and wave properties. (The particle properties of EMR – i.e., light – are not discussed in your text.)

The wave properties of EMR include wavelength, frequency, and speed.

Wavelength is the distance between two consecutive wave peaks. (Think of water waves as analogous to EMR waves. (See fig 10.2, 10.3).

The frequency of the wave refers to how many wave peaks pass a given point per given time period.

The speed of a wave indicates how fast a given peak travels through its medium. For light, that speed is 186,000 miles per second (in a vacuum).

Different wavelengths of EMR (light) carry different amounts of energy. For example, photons that correspond to red light have less energy than photons that correspond to blue light. That’s because the wavelength of red light is longer than that of blue light. (See fig 10.6) The longer the wavelength of light the lower the energy carried; the shorter the wavelength the higher the amount of energy carried.

This is why we are not easily damaged by visible light rays (ROY G BIV) but can be injured by light of shorter, and therefore more powerful, wavelengths.

UV light has enough energy to cause damage to our skin (suntan or sunburn).

X-Rays are even stronger – they can go through our bodies. Our exposure to them must be strictly limited as they are powerful enough to damage cells and our DNA.

Gamma rays are even stronger and can seriously damage or kill organisms even with brief exposures.

But remember, even visible light, infra-red, microwaves and radio waves can cause damage if intense enough. After all, microwaves can be used for cooking foods!

10.3Emission of Energy by Atoms

This section simply illustrates how different atoms give off different colored light when heated. To summarize, when atoms receive energy from a source they become “excited.” They then release this energy by emitting light of a particular wavelength. The energy of the light emitted is equal to the energy received. (See fig 10.8.)

10.4The Energy Levels of Hydrogen

This section gives a specific example of hydrogen atoms releasing energy when excited. (See figs 10.9 and 10.10.) When excited hydrogen atoms release energy they do so by emitting light (photons) of only very particular wavelengths, as shown in Fig 10.11. Hydrogen atoms never emit light with wavelengths between these narrow bands. (Compare this spectrum with the full spectrum of visible light in fig.10.4.) Because only certain wavelengths are emitted, only certain energy changes are taking place.

All hydrogen atoms have the same set of discreet energy levels. Therefore, the energy levels of hydrogen are quantized, which means only certain values are allowed. If hydrogen atoms could be excited to any energy state, then the light they would give off would be continuous.

See the analogy of the ramp versus steps (fig 10.15) that illustrates the difference between continuous and discreet energy levels.

10.5The Bohr Model of the Atom

How is the particular emission spectrum of hydrogen explained?

In 1913 Niels Bohr constructed a model of the hydrogen atom that had its electron moving in circular orbits corresponding to allowed energy levels. The electron could jump to a different orbit by absorbing or emitting a photon of light of the correct energy content (fig 10.17). When an electron jumped down to a lower orbit after being energized it gave off a photon of light that corresponded to the observed emission spectrum for hydrogen.

Bohr’s model worked well-enough for hydrogen, but not for other atoms. In fact, it is fundamentally flawed because electrons do not move in orbits around a nucleus, as Bohr proposed. However, it paved he way for later theories.

10.6The Wave-Mechanical Model

It replaced the Bohr model of the atom.

The Bohr model simply put electrons with higher energy in an orbit with a greater radius (distance from the nucleus). This model did not explain the behavior of atoms other than hydrogen.

In the 1920s Louis Victor de Broglie and Erwin Schroedinger proposed that electrons have both wave and particle properties, just like photons. By mathematically treating electrons as waves, rather than just particles, they came up with a model that works for all atoms, not just hydrogen.

Electrons, behaving as waves, do not move in orbits but are located in orbitals. Orbitals simply represent the region of space, as mathematically defined, occupied by an electron around an atom. Electrons do not move like planets around the sun.

Orbitals are a probability map of where electrons are likely to be found, not precise locations.

As you’ll see in Ch 10.7, and below, orbitals have different shapes that correspond to the different energy states of electrons. Shown are the s, p, d, and f orbitals. The nucleus of the atom is located at the intersection of the axes.

Some web sites on atomic orbitals:

http://www.d.umn.edu/~pkiprof/ChemWebV2/AOs/index.html

(A bit advanced, but you may want to watch)