Chemistry: Atoms First 2e · Atoms, Molecules, and Ions
Evolution of Atomic Theory
On this page 9 sections
In 30 seconds
Dalton's theory treated atoms as indivisible particles, but a wave of experiments in the late 1800s and early 1900s showed that atoms have internal structure. This topic traces that evolution: the discovery of the electron Negatively charged subatomic particle outside the nucleus Full entry → in cathode-ray tubes, the measurement of the electron's charge by Robert Millikan, the discovery of radioactivity, Ernest Rutherford's gold-foil experiment that revealed the nucleus Tiny, dense, positive core containing most of an atom's mass Full entry →, and the later identification of protons and neutrons. Each step replaced an earlier model with one that explained more evidence — a classic example of how scientific theories are revised rather than merely discarded.
Why this matters
Knowing which experiment led to which conclusion is a favorite exam topic, but it is also the story of how modern chemistry became quantitative. The electron's discovery explained electric charge and bonding; the nuclear model explains why atoms are mostly empty space yet almost all of an atom's mass sits in a tiny core; and radioactivity introduced the idea that atoms can change identity, which underpins nuclear chemistry and medical imaging. Understanding the reasoning behind each experiment — not just memorizing names — teaches how evidence forces a model to change.
The college version
Core Concepts
Cathode rays and the discovery of the electron
When a high voltage is applied across a sealed glass tube containing a gas at low pressure, a beam called a cathode ray Beam of electrons emitted from the negative electrode of a discharge tube Full entry → travels from the negative electrode (cathode) toward the positive electrode (anode). J.J. Thomson showed that the beam is deflected by electric and magnetic fields, and that it bends toward a positively charged plate — evidence that the particles in the beam carry a negative charge. The same charge-to-mass ratio was obtained no matter what gas filled the tube, so the particles, called electrons, must be a universal component of all matter. Thomson measured the charge-to-mass ratio:
qme = 1.76 × 1011 C/kg
He proposed the plum pudding model Thomson's atom: electrons embedded in diffuse positive charge Full entry →, in which electrons are scattered inside a diffuse sphere of positive charge.
Millikan's oil-drop experiment
Robert Millikan measured the charge on individual electrons by spraying tiny oil droplets between charged plates and observing how their motion responded to electric force. The key insight was quantization: every measured droplet charge was an integer multiple of one smallest value, 1.60 × 10-19 C. That smallest unit is the magnitude of the electron's charge, e. Combining e with Thomson's charge-to-mass ratio gives the electron's mass.
Radioactivity reveals more pieces
In 1896, Henri Becquerel found that uranium salts expose photographic film even in darkness, and Marie and Pierre Curie isolated new radioactive elements such as polonium and radium. The emitted radiation was sorted into three types: alpha particles (helium nuclei, charge 2+), beta particles (electrons), and gamma rays (high-energy electromagnetic radiation). Radioactivity demonstrated that atoms are not featureless: they contain charged parts that can be ejected.
Rutherford's gold-foil experiment
Rutherford and his team directed alpha particles at an extremely thin gold foil. Most passed straight through, a few were slightly deflected, and a very few bounced back toward the source. Rutherford concluded that atoms are mostly empty space, with nearly all of their mass and all of their positive charge concentrated in a tiny central region called the nucleus. This nuclear model replaced the plum pudding model, because a diffuse positive charge could never produce large-angle deflections.
Protons, neutrons, and the Bohr model
Rutherford later showed that hydrogen nuclei (protons) can be knocked out of nitrogen atoms, identifying the proton as a building block of nuclei. In 1932, James Chadwick discovered the neutron Neutral subatomic particle with mass close to the proton's Full entry →, a neutral particle with mass close to the proton's, which explained why nuclei heavier than hydrogen contain extra mass without extra charge. Around the same era, Niels Bohr proposed that electrons occupy specific orbits (energy levels) around the nucleus — a stepping stone to the quantum-mechanical picture developed in Chapter 3.
How It Works / Step-by-Step Process
- Match each experiment to its observation: cathode rays bend toward positive plates (electrons negative); oil drops carry integer multiples of one charge (quantization); some alphas bounce back (nucleus).
- For charge-to-mass problems, write the defining ratio, substitute the measured values, and confirm the units cancel to the target unit.
- When comparing models, state what evidence each model explains and what evidence forces a change to the next model.
Common Confusions
| Do Not Confuse | With | Difference |
|---|---|---|
| Thomson | Millikan | Thomson discovered the electron and measured its charge-to-mass ratio; Millikan measured the electron's charge itself. |
| Plum pudding model | Nuclear model | Plum pudding: positive charge spread out. Nuclear: positive charge concentrated in a tiny central nucleus. |
| Alpha particles | Beta particles | Alpha = helium nuclei (charge 2+); beta = electrons (charge 1−). They deflect opposite directions in a magnetic field. |
| Protons | Neutrons | Protons carry charge 1+ and define the element; neutrons are neutral but add mass and enable different isotopes. |
| "Most alphas passed through" | "Atoms are solid" | Most passing through is evidence the atom is mostly empty space, not that it is solid. |

Eli explains
The same idea, in plain words
Explain it like I’m 10
Scientists shot tiny invisible bullets at a sheet of gold foil and watched where they landed. Most bullets passed straight through, which meant the atom is mostly empty space, but a few bounced back, which meant there is a tiny, hard, heavy spot in the middle — the nucleus. Earlier, J.J. Thomson had found that atoms contain small negative pieces, and Millikan figured out exactly how much charge one of those pieces carries.
Worked example
Worked Example 1: Mass of the electron from two experiments
Thomson measured the charge-to-mass ratio of the electron as 1.76 × 1011 C/kg, and Millikan determined the magnitude of the electron's charge as 1.60 × 10-19 C. Find the electron's mass.
Start from the definition of charge-to-mass ratio and solve for mass:
qme = 1.76 × 1011 C/kg ⇒ me = qq/me
Substitute the two measured values:
me = 1.60 × 10-19 C1.76 × 1011 C/kg = 9.09 × 10-31 kg
Unit check: C cancels with C, leaving kg. The result is close to the accepted value of 9.11 × 10-31 kg — the small difference reflects rounding in the two measurements.
Worked Example 2: Interpreting Millikan-style charge data
Suppose droplets in a Millikan-type experiment carry charges of 1.60 × 10-19 C, 3.20 × 10-19 C, and 4.80 × 10-19 C. What is the charge of a single electron?
Look for the largest value that divides every measured charge evenly:
1.60 × 10-191.60 × 10-19 = 1, 3.20 × 10-191.60 × 10-19 = 2, 4.80 × 10-191.60 × 10-19 = 3
Every charge is an integer multiple of 1.60 × 10-19 C, so that value is the charge of one electron, e. The droplets carried 1, 2, and 3 extra electrons, respectively — the observation of such integer multiples is exactly the evidence for charge quantization.
Worked Example 3: What the gold-foil results imply
In Rutherford's experiment, most alpha particles passed through the foil undeflected, a few scattered at small angles, and roughly 1 in 8,000 bounced back at large angles. Use these observations to decide between the plum pudding and nuclear models.
A plum pudding atom has its positive charge spread out, so a passing alpha would experience only weak, diffuse repulsion — large-angle backscattering would essentially never happen. The nuclear model concentrates all positive charge in a tiny core, so an alpha that happens to pass very close to a nucleus feels an enormous repulsive force and can be thrown back. The existence of any backscattered alphas therefore rules out the plum pudding model, while the fact that almost all alphas pass through shows the nucleus occupies only a tiny fraction of the atom's volume.
Key takeaways
- Thomson: discovered the electron using cathode-ray tubes; measured q/me = 1.76 × 1011 C/kg; proposed the plum pudding model.
- Millikan: oil-drop experiment showed charge is quantized in units of e = 1.60 × 10-19 C.
- Electron mass follows from me = e / (q/me) ≈ 9.11 × 10-31 kg.
- Becquerel discovered radioactivity; alpha (2+, helium nucleus), beta (electron), and gamma (EM radiation) rays were distinguished.
- Rutherford: gold-foil experiment → atoms mostly empty space; tiny, dense, positive nucleus.
- Protons (Rutherford) and neutrons (Chadwick) complete the nuclear picture: Z protons plus N neutrons.
- Bohr: electrons in specific energy levels — a bridge to quantum theory.
Check yourself
5 review questions from the chapter. Try each one, then open the answer.
What evidence led Thomson to conclude that cathode rays are negatively charged particles common to all matter?
Show answer
The beam deflected toward a positively charged plate (so the particles are negative), and the same charge-to-mass ratio appeared regardless of the gas in the tube (so the particles are universal constituents of matter).
What single result from Millikan's oil-drop experiment established the charge of the electron?
Show answer
Every measured droplet charge was an integer multiple of 1.60 × 10-19 C, so that value is the magnitude of the electron's charge, e.
Why could the plum pudding model not explain Rutherford's large-angle scattering results?
Show answer
A diffuse positive charge cannot produce the strong repulsion needed to throw an alpha particle backward; only a tiny, dense, positive nucleus can.
What is the charge-to-mass ratio of the electron, and what two measured values combine to give the electron's mass?
Show answer
q/me = 1.76 × 1011 C/kg. The electron mass is me = e/(q/me) ≈ 9.11 × 10-31 kg, using Millikan's e = 1.60 × 10-19 C.
Which two particles make up the nucleus, and who discovered the neutral one?
Show answer
Protons and neutrons make up the nucleus; James Chadwick discovered the neutron in 1932.
Study tools & related lessonsKey vocabulary · Related
Key vocabulary
- cathode ray
- Beam of electrons emitted from the negative electrode of a discharge tube
- electron
- Negatively charged subatomic particle outside the nucleus
- plum pudding model
- Thomson's atom: electrons embedded in diffuse positive charge
- charge quantization
- Observation that charge appears only in whole multiples of e
- alpha, beta, gamma radiation
- Helium nuclei, electrons, and EM rays emitted by radioactive nuclei
- nucleus
- Tiny, dense, positive core containing most of an atom's mass
- neutron
- Neutral subatomic particle with mass close to the proton's
Sources & references
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