Particles, Radiation and Radioactivity | 粒子、辐射与放射性

📚 Particles, Radiation and Radioactivity | 粒子、辐射与放射性

This article covers the essential ideas of particle physics and radioactivity for AQA A-Level Physics. You will learn about the structure of the atom, the nature of fundamental particles, the interactions between them, and the laws that govern radioactive decay.

本文涵盖AQA A-Level物理中粒子物理和放射性的核心概念。你将了解原子的结构、基本粒子的性质、它们之间的相互作用,以及支配放射性衰变的规律。


1. The Atom and Its Constituents | 原子及其构成

An atom consists of a small, dense nucleus surrounded by orbiting electrons. The nucleus itself contains protons and neutrons, which are collectively called nucleons.

原子由一个微小而致密的原子核以及围绕它运动的电子组成。原子核本身包含质子和中子,统称为核子。

  • Proton: charge +e, rest mass 1.673 × 10⁻²⁷ kg
  • 质子:电荷 +e,静止质量 1.673 × 10⁻²⁷ kg
  • Neutron: charge 0, rest mass 1.675 × 10⁻²⁷ kg
  • 中子:电荷 0,静止质量 1.675 × 10⁻²⁷ kg
  • Electron: charge −e, rest mass 9.11 × 10⁻³¹ kg
  • 电子:电荷 −e,静止质量 9.11 × 10⁻³¹ kg

The atomic number Z is the number of protons, and the mass number A is the total number of protons and neutrons. A nuclide is represented as ᵃₓX, where X is the chemical symbol.

原子序数Z是质子数,质量数A是质子和中子的总数。核素表示为ᵃₓX,其中X是化学符号。


2. Stable and Unstable Nuclei | 稳定与不稳定的原子核

Stability arises from a balance between the attractive strong nuclear force and the repulsive electrostatic force between protons. For small nuclei, stability is achieved when the proton–neutron ratio is close to 1:1.

原子核的稳定性来自强核力(引力)与质子间静电斥力之间的平衡。对于小原子核,当质子数与中子数之比接近1:1时,就达到稳定。

As the nucleus grows larger, more neutrons are needed to provide additional strong force without increasing electrostatic repulsion. When a nucleus has too many or too few neutrons relative to protons, it becomes unstable and tends to decay.

随着原子核增大,需要更多的中子来提供额外的强核力而不增加静电斥力。当原子核的中子相对质子过多或过少时,它变得不稳定并趋于衰变。

N = A − Z

Neutron number N is the difference between mass number and atomic number.

中子数N等于质量数与原子序数之差。


3. Particles, Antiparticles and Photons | 粒子、反粒子与光子

Every particle has an antiparticle with the same mass but opposite charge. When a particle meets its antiparticle, they annihilate, producing energy in the form of photons.

每个粒子都有质量相同但电荷相反的反粒子。当粒子与其反粒子相遇时,它们会发生湮灭,以光子形式释放能量。

E = mc²

Pair production is the reverse process: a high-energy photon can create a particle–antiparticle pair, provided it has enough energy.

电子对产生是逆过程:一个高能光子可以产生一对粒子—反粒子对,前提是能量足够。

  • Electron ↔ positron (antielectron)
  • 电子 ↔ 正电子(反电子)
  • Proton ↔ antiproton
  • 质子 ↔ 反质子
  • Photon: its own antiparticle
  • 光子:它自身的反粒子

4. Particle Interactions | 粒子相互作用

There are four fundamental forces: gravitational, electromagnetic, strong nuclear and weak nuclear. In particle physics, interactions are described using exchange particles (bosons).

自然界存在四种基本作用力:引力、电磁力、强核力和弱核力。在粒子物理中,相互作用通过交换粒子(玻色子)来描述。

Force Exchange particle
Strong nuclear Gluon (π meson between nucleons)
Electromagnetic Photon
Weak nuclear W⁺, W⁻, Z⁰ bosons
Gravitational Graviton (not yet observed)

In A-Level physics, you mainly study two types of hadrons: baryons (three quarks) and mesons (quark–antiquark pairs), plus leptons (such as electrons and neutrinos) which do not feel the strong force.

在A-Level物理中,你主要学习两种强子:重子(三个夸克)和介子(夸克—反夸克对),以及轻子(如电子和中微子),它们不参与强相互作用。


5. Quarks and Antiquarks | 夸克与反夸克

Quarks are fundamental particles that make up hadrons. There are six flavours, but in AQA A-Level you need to know up, down and strange quarks, and their antiquarks.

夸克是组成强子的基本粒子。共有六种味道,但AQA A-Level你需要了解上夸克、下夸克和奇异夸克,以及它们的反夸克。

Flavour Charge Baryon number
u +⅔e +⅓
d −⅓e +⅓
s −⅓e +⅓
anti-u −⅔e −⅓
anti-d +⅓e −⅓
anti-s +⅓e −⅓

Protons are uud, neutrons are udd. The decay of a neutron involves a down quark changing to an up quark via the weak interaction, emitting a W⁻ boson that decays into an electron and an antineutrino.

质子由uud组成,中子由udd组成。中子衰变涉及下夸克通过弱相互作用变为上夸克,发射W⁻玻色子,再衰变为电子和反中微子。


6. Conservation Laws | 守恒定律

In every particle interaction or radioactive decay, certain quantities must be conserved: charge, baryon number, lepton number and energy–momentum. Strangeness is conserved in strong interactions but not in weak interactions.

在每个粒子相互作用或放射性衰变中,某些量必须守恒:电荷、重子数、轻子数和能量—动量。奇异数在强相互作用中守恒,但在弱相互作用中不守恒。

  • Charge: total electric charge before = after
  • 电荷:反应前后总电荷相等
  • Baryon number: total baryon number is constant
  • 重子数:总重子数保持不变
  • Lepton number: separate conservation for electron, muon and tau families
  • 轻子数:电子、μ子和τ子家族分别守恒

n → p + e⁻ + ν̄ₑ

This beta-minus decay satisfies all conservation laws: charge (0 → +1−1), baryon number (1 → 1), lepton number (electron family 0 → 1−1).

这个β⁻衰变满足所有守恒定律:电荷(0 → +1−1),重子数(1 → 1),轻子数(电子家族 0 → 1−1)。


7. Radioactivity: Alpha, Beta and Gamma | 放射性:α、β与γ

Unstable nuclei emit radiation to become more stable. There are three main types of radiation, each with different penetration and ionising power.

不稳定的原子核通过发射辐射而变得更稳定。主要有三种辐射类型,各有不同的穿透能力和电离能力。

Type Nature Range in air Stopped by
Alpha (α) Helium nucleus ⁴₂He ~5 cm Paper / skin
Beta (β⁻) Fast electron ±₋₁e ~1 m Few mm aluminium
Gamma (γ) High-energy photon Infinite (intensity decreases) Several cm lead / concrete

Alpha particles are strongly ionising because of their large charge and slow speed. Beta particles are moderately ionising. Gamma radiation is weakly ionising but very penetrating.

α粒子因为电荷大、速度慢而具有很强的电离能力。β粒子具有中等电离能力。γ辐射电离能力弱,但穿透力很强。


8. Nuclear Equations | 核反应方程式

When writing nuclear equations, the total mass number and total charge must balance on both sides. Use the nuclide notation ᵃₓX for each particle.

写核反应方程式时,两侧的总质量数和总电荷必须平衡。每个粒子使用核素表示法ᵃₓX。

²³⁸₉₂U → ²³⁴₉₀Th + ⁴₂He

Alpha decay: mass number decreases by 4, atomic number decreases by 2.

α衰变:质量数减少4,原子序数减少2。

¹⁴₆C → ¹⁴₇N + ₀₋₁e + ν̄ₑ

Beta-minus decay: a neutron becomes a proton; mass number stays the same, atomic number increases by 1.

β⁻衰变:中子变为质子;质量数不变,原子序数增加1。


9. Half-Life and Decay Curves | 半衰期与衰变曲线

The half-life T₁/₂ is the time taken for half of the radioactive nuclei in a sample to decay. It is a constant for a given isotope and does not depend on temperature, pressure or chemical state.

半衰期T₁/₂是指样品中一半放射性核衰变所需的时间。对于特定同位素它是一个常数,不随温度、压力或化学状态而改变。

N = N₀ (½)t/T₁/₂

Equivalently, using the decay constant λ:

等价地,使用衰变常数λ:

N = N₀ e^(−λt) and T₁/₂ = ln2 / λ

The activity A of a sample is the rate of decay, measured in becquerels (Bq).

样品的活度A是衰变率,单位为贝克勒尔(Bq)。

A = λN = A₀ e^(−λt)

A decay curve is exponential, and after each half-life the activity falls to half of its previous value.

衰变曲线是指数式的,每经过一个半衰期,活度下降到原值的一半。


10. Ionising Radiation and Applications | 电离辐射与应用

Ionising radiation can damage cells by knocking electrons out of atoms, causing mutations or cancer. However, it is also used in medicine and industry.

电离辐射通过将电子从原子中击出而损伤细胞,可能导致突变或癌症。然而,它也用于医学和工业。

  • Medical tracers: iodine-131 and technetium-99m emit gamma rays that can be detected outside the body.
  • 医用示踪剂:碘-131和锝-99m发射γ射线,可在体外被探测到。
  • Radiotherapy: cobalt-60 gamma radiation is used to destroy cancerous tumours.
  • 放射治疗:钴-60的γ辐射用于摧毁癌性肿瘤。
  • Carbon dating: the ratio of carbon-14 to carbon-12 determines the age of organic materials.
  • 碳定年:碳-14与碳-12的比例可用于确定有机材料年代。
  • Smoke detectors: americium-241 emits alpha particles which ionise the air; smoke reduces the current and triggers an alarm.
  • 烟雾探测器:镅-241发射α粒子使空气电离;烟雾降低电流从而触发警报。

When working with radioactive sources, safety measures include using tongs, limiting exposure time, and shielding with appropriate materials.

使用放射源时,安全措施包括使用钳子、限制暴露时间,并用适当的材料进行屏蔽。


Published by TutorHao | Physics Revision Series | aleveler.com

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