📚 Mastering Mass Spectrometry for AQA A-Level Chemistry | A-Level AQA 化学:质谱 考点精讲
Mass spectrometry is a powerful analytical technique used to determine the relative atomic masses of elements and the relative molecular masses of compounds. In the AQA A-Level chemistry specification, you need to understand the principles of a time-of-flight (TOF) mass spectrometer, interpret mass spectra for both atoms and molecules, calculate relative atomic masses from isotopic abundance data, and explain fragmentation patterns. This article provides a comprehensive, exam-focused review of every key concept, from ionisation methods to common pitfalls in data interpretation.
质谱是一种强大的分析技术,用于测定元素的相对原子质量以及化合物的相对分子质量。在AQA A-Level化学考试大纲中,你需要理解飞行时间质谱仪的原理,解读原子和分子的质谱图,利用同位素丰度数据计算相对原子质量,并解释碎片离子峰的规律。这篇文章将全面且紧扣考点地梳理从电离方法到数据解读常见陷阱的每一个关键概念。
1. Introduction to Mass Spectrometry | 质谱简介
A mass spectrometer measures the mass-to-charge ratio (m/z) of positively charged ions generated from a sample. The basic stages in a TOF mass spectrometer are ionisation, acceleration, flight through a field-free drift region, and detection. Because the instrument separates ions based on their flight times—lighter ions travel faster than heavier ones carrying the same charge—the technique is called time-of-flight mass spectrometry.
质谱仪测量样品产生的正离子的质荷比(m/z)。飞行时间质谱仪的基本步骤包括电离、加速、在无场漂移区中飞行以及检测。由于仪器根据离子飞行时间进行分离——携带相同电荷的较轻离子比较重的离子飞得更快——因此该技术被称为飞行时间质谱法。
2. Ionisation Methods: Electron Impact and Electrospray | 电离方法:电子轰击与电喷雾
Two ionisation techniques are commonly examined. In electron impact (EI), the vaporised sample is bombarded with high-energy electrons. This knocks out an electron from the molecule to form a radical cation: M + e⁻ → M⁺• + 2e⁻. EI causes extensive fragmentation, which provides structural information.
考试中通常会涉及两种电离技术。在电子轰击法(EI)中,高能电子轰击气化的样品,从分子中打出一个电子,形成自由基阳离子:M + e⁻ → M⁺• + 2e⁻。电子轰击会导致大量的碎片化,这为结构分析提供信息。
Electrospray ionisation (ESI) is a softer method. The sample is dissolved and forced through a hypodermic needle at high voltage. The solvent evaporates, leaving protonated [M+H]⁺ ions. ESI produces little fragmentation, so it is used to determine accurate molecular masses of large biomolecules.
电喷雾电离(ESI)是一种较温和的方法。样品溶解后,在高电压下从极细的针头喷出。溶剂蒸发后,留下质子化的[M+H]⁺离子。电喷雾几乎不产生碎片,因此用于准确测定大生物分子的分子质量。
| Parameter | Electron Impact | Electrospray |
|---|---|---|
| State of sample | Vapour | Solution (dissolved) |
| Species formed | M⁺• (radical cation) | [M+H]⁺ (protonated) |
| Fragmentation | Extensive | Minimal |
Remember: in EI, the molecular ion peak M⁺• is observed at the original mass, whereas in ESI the peak appears at M+1 due to protonation.
请记住:在电子轰击法中,分子离子峰M⁺•出现在原始质量处;而在电喷雾法中,由于质子化,峰出现在M+1处。
3. Acceleration of Ions | 离子的加速
Positive ions are accelerated by an electric field through a potential difference V. All ions of charge +1 gain the same kinetic energy: KE = ½mv² = eV, where e is the elementary charge. Because the kinetic energy is constant for singly charged ions, the velocity v depends inversely on the square root of the mass: v = √(2eV / m). Lighter ions reach a higher velocity.
正离子在电场中通过电势差V被加速。携带+1电荷的所有离子获得相同的动能:KE = ½mv² = eV,其中e为基本电荷。由于单电荷离子的动能恒定,速度v与质量的平方根成反比:v = √(2eV / m)。质量越小的离子获得的速度越大。
In AQA exam questions, you may be asked to derive or use this relationship to compare flight times. It is important to express mass in kg if combining with SI units for voltage and charge.
在AQA考题中,你可能需要推导或运用这一关系来比较飞行时间。若将电压和电荷代入国际单位制,需将质量以千克表示。
4. Flight Tube and Time of Flight | 飞行管与飞行时间
The accelerated ions enter a field-free drift region (flight tube) of length d. The time taken to traverse the tube is t = d / v. Substituting the velocity expression gives t = d / √(2eV/m) = d√(m / 2eV). Thus, for ions with the same charge, t ∝ √m. The time of flight is directly proportional to the square root of the mass.
加速后的离子进入长度为d的无场漂移区(飞行管)。穿过管子所需时间为t = d / v。代入速度表达式可得t = d / √(2eV/m) = d√(m / 2eV)。因此,对于带相同电荷的离子,t ∝ √m,飞行时间与质量的平方根成正比。
A typical calculation might ask: ‘Given the flight time of an ion of known m/z, calculate the mass of another ion from its flight time.’ Use the proportionality t₂ / t₁ = √(m₂ / m₁).
一个典型的计算题可能是:已知某个m/z离子的飞行时间,根据另一个离子的飞行时间计算其质量。可使用比例关系t₂ / t₁ = √(m₂ / m₁)。
5. Detection and Data Analysis | 检测与数据分析
Ions strike a detector plate, generating an electric current proportional to the number of ions. The signal is processed to produce a mass spectrum, a plot of relative abundance (or intensity) against mass-to-charge ratio (m/z). Because most ions carry a +1 charge, m/z is numerically equal to the mass of the ion in unified atomic mass units.
离子撞击检测板,产生与离子数量成正比的电流。信号经过处理形成质谱图,即以相对丰度(或强度)对质荷比(m/z)作图。由于大多数离子带一个正电荷,m/z的数值等于该离子的质量(以统一原子质量单位计)。
The highest peak in the spectrum is called the base peak and is assigned a relative abundance of 100%. All other peaks are expressed relative to this. In organic mass spectra, the base peak often corresponds to the most stable carbocation formed by fragmentation.
谱图中最高的峰称为基峰,其相对丰度被赋值100%。所有其他峰的丰度均以此为基准表示。在有机质谱中,基峰通常对应于碎片化形成的最稳定的碳正离子。
6. Understanding the Mass Spectrum | 理解质谱图
For a pure atomic sample, such as magnesium, the mass spectrum shows several peaks, each representing one isotope. The m/z values correspond to mass numbers of the isotopes (e.g., ²⁴Mg⁺ at m/z 24, ²⁵Mg⁺ at 25, ²⁶Mg⁺ at 26). The relative heights reflect the isotopic abundances. You can use these data to calculate the relative atomic mass (Ar).
对于纯原子样品,例如镁,质谱图显示若干个峰,每个峰代表一种同位素。m/z值对应同位素的质量数(例如²⁴Mg⁺在m/z 24、²⁵Mg⁺在25、²⁶Mg⁺在26)。相对峰高反映了同位素丰度。你可以利用这些数据计算相对原子质量(Ar)。
For molecular compounds, the molecular ion peak (M⁺) gives the relative molecular mass (Mr). Additional peaks at lower m/z arise from fragmentation inside the ionisation source. The fragmentation pattern can be used to deduce the structure of an unknown compound.
对于分子化合物,分子离子峰(M⁺)给出相对分子质量(Mr)。较低m/z处的额外峰源自电离源内部的碎片化。碎片化模式可用于推断未知化合物的结构。
7. Molecular Ion Peak and Fragmentation | 分子离子峰与碎片化
The molecular ion peak is the peak with the highest m/z in the spectrum (excluding tiny isotopic satellite peaks). It corresponds to the whole molecule that has lost one electron (M⁺•). In EI, this radical cation sometimes undergoes further homolytic or heterolytic fission to produce fragment ions and neutral species.
分子离子峰是质谱图中m/z最高的峰(不包括微小的同位素卫星峰)。它对应于失去一个电子的整个分子(M⁺•)。在EI法中,该自由基阳离子有时会进一步发生均裂或异裂,生成碎片离子和中性粒子。
A common fragmentation for alkanes is the loss of an alkyl radical, giving a carbocation. For example, butane (M⁺ = 58) may show prominent peaks at m/z = 43 (loss of •CH₃), m/z = 29 (•C₂H₅) and m/z = 15 (CH₃⁺). The stability of the resulting carbocation governs the relative abundance.
烷烃常见的碎片化是丢失一个烷基自由基,生成碳正离子。例如,丁烷(M⁺ = 58)可能在m/z = 43(丢失•CH₃)、m/z = 29(•C₂H₅)和m/z = 15(CH₃⁺)处出现明显的峰。生成的碳正离子稳定性决定了其相对丰度。
8. The M+1 Peak and Isotopic Abundance | M+1峰与同位素丰度
Carbon has two stable isotopes: ¹²C (98.9%) and ¹³C (1.1%). For an organic molecule containing n carbon atoms, the probability of containing one ¹³C atom is approximately n × 1.1%. Therefore, the M+1 peak intensity relative to the M peak is about n × 1.1%. This can be used to estimate the number of carbon atoms in a molecular formula.
碳有两种稳定同位素:¹²C(98.9%)和¹³C(1.1%)。对于一个含有n个碳原子的有机分子,含有一个¹³C原子的概率约为n × 1.1%。因此,M+1峰的强度相对于M峰约为n × 1.1%。这可用于估算分子式中碳原子的数量。
Halogens like chlorine and bromine have characteristic isotopic patterns. Chlorine consists of ³⁵Cl (75%) and ³⁷Cl (25%). Bromine consists of ⁷⁹Br (50%) and ⁸¹Br (50%). For a molecule containing two chlorine atoms, the intensity ratios of M, M+2 and M+4 peaks follow a 9:6:1 pattern. For two bromines, it is 1:2:1.
卤素如氯和溴具有特征性的同位素分布。氯由³⁵Cl (75%)和³⁷Cl (25%)组成。溴由⁷⁹Br (50%)和⁸¹Br (50%)组成。对于含有两个氯原子的分子,M、M+2和M+4峰的强度比为9:6:1。对于两个溴原子,则为1:2:1。
9. Calculating Relative Atomic Mass from Mass Spectra | 由质谱图计算相对原子质量
The relative atomic mass Ar is the weighted average mass of an atom relative to 1/12th the mass of a ¹²C atom. For an element with several isotopes: Ar = Σ (isotopic mass × % abundance) / 100. If abundances are given as relative heights rather than percentages, treat them similarly: Ar = Σ (mass × relative abundance) / Σ relative abundances.
相对原子质量Ar是原子的加权平均质量,相对于一个¹²C原子质量的1/12。对于具有多种同位素的元素:Ar = Σ (同位素质量 × 丰度%) / 100。若丰度以相对高度而非百分比给出,则按类似方式处理:Ar = Σ (质量 × 相对丰度) / Σ 相对丰度。
Worked example: A sample of boron gives two peaks: m/z 10 (relative abundance 20) and m/z 11 (relative abundance 80). Ar = (10 × 20 + 11 × 80) / (20 + 80) = (200 + 880) / 100 = 1080/100 = 10.8. So the relative atomic mass of boron is 10.8.
示例:一份硼样品的质谱给出两个峰:m/z 10(相对丰度20)和 m/z 11(相对丰度80)。Ar = (10 × 20 + 11 × 80) / (20 + 80) = 1080 / 100 = 10.8。因此硼的相对原子质量为10.8。
10. Spectra of Diatomic Molecules (e.g., Cl₂, Br₂) | 双原子分子(如Cl₂, Br₂)的质谱
For Cl₂, molecular ions can be formed from different isotopic combinations: ³⁵Cl–³⁵Cl (m/z 70), ³⁵Cl–³⁷Cl (m/z 72), ³⁷Cl–³⁷Cl (m/z 74). The statistical probabilities give relative intensities of 9:6:1 respectively. The spectrum also shows atomic ions Cl⁺ at m/z 35 and 37, often with higher abundance than the M peaks due to easy fragmentation of the weak Cl–Cl bond.
对于Cl₂,分子离子可由不同同位素组合形成:³⁵Cl–³⁵Cl (m/z 70), ³⁵Cl–³⁷Cl (m/z 72), ³⁷Cl–³⁷Cl (m/z 74)。统计概率给出的相对强度分别为9:6:1。质谱图中还会出现m/z 35和37的Cl⁺原子离子峰,由于Cl–Cl键较弱容易断裂,其丰度往往高于分子离子峰。
Similarly, Br₂ gives M peaks at m/z 158, 160, 162 in a 1:2:1 ratio. For a molecule like CH₃Cl, the molecular ion region shows two peaks at m/z 50 (CH₃ ³⁵Cl) and 52 (CH₃ ³⁷Cl) in a 3:1 ratio, reflecting the isotopic abundance of chlorine.
类似地,Br₂的M峰出现在m/z 158, 160, 162,比例为1:2:1。对于CH₃Cl这类分子,分子离子区域在m/z 50 (CH₃ ³⁵Cl) 和52 (CH₃ ³⁷Cl) 处出现两个峰,比例为3:1,反映了氯的同位素丰度。
11. Common Pitfalls and Exam Tips | 常见陷阱与考试技巧
Pitfall 1: Using the wrong mass for the M peak in ESI. When the spectrum is obtained by electrospray, the observed peak is [M+H]⁺, so the molecular mass M = m/z − 1. Always read the question carefully to identify the ionisation method.
陷阱1:电喷雾质谱中M峰的质量使用错误。当谱图由电喷雾获得时,观察到的峰为[M+H]⁺,因此分子质量M = m/z − 1。务必仔细读题以确定电离方法。
Pitfall 2: Forgetting to square the flight time or mass when using t ∝ √m. For a question asking ‘How long will an ion of mass m₂ take if an ion of mass m₁ takes t₁?’ use (t₂ / t₁)² = m₂ / m₁.
陷阱2:使用t ∝ √m时忘记平方飞行时间或质量。在回答“若质量为m₁的离子需时t₁,那么质量为m₂的离子需时多少?”的问题时,请使用(t₂ / t₁)² = m₂ / m₁。
Pitfall 3: Confusing percentage abundance with relative intensity. Always sum all intensities to find the total when calculating Ar. Look for any hidden peaks at m/z values beyond the molecular ion, such as M+2 peaks from ³⁷Cl or ⁸¹Br.
陷阱3:混淆百分比丰度与相对强度。计算Ar时,始终将所有强度相加求出总和。留意分子离子峰之外任何隐藏的峰,例如由³⁷Cl或⁸¹Br引起的M+2峰。
12. Summary and Key Equations | 总结与关键公式
The TOF mass spectrometer is a core topic in AQA A-Level chemistry. Master the sequence: ionisation → acceleration → flight → detection. Understand how flight time relates to mass: t ∝ √m. Interpret mass spectra to determine Ar, Mr, isotopic patterns, and structural features from fragmentation. Use the kinetic energy relation: KE = ½mv² = eV, and the flight time equation: t = d√(m / 2eV).
飞行时间质谱仪是AQA A-Level化学的核心主题。掌握电离→加速→飞行→检测的流程。理解飞行时间与质量的关系:t ∝ √m。解读质谱图以确定Ar、Mr、同位素分布,并由碎片推导结构特征。利用动能关系式:KE = ½mv² = eV,以及飞行时间方程:t = d√(m / 2eV)。
Keep practicing with past-paper questions, especially those requiring calculation of relative atomic mass from tabulated data or prediction of peak patterns for halogen-containing compounds. By linking the fundamental physics to the chemical information, you’ll be fully prepared for the examination.
通过练习历年真题,尤其是那些要求根据表格数据计算相对原子质量或预测含卤素化合物峰型的题目,不断巩固。将基础物理与化学信息联系起来,你必能在考试中做好充分准备。
Published by TutorHao | Chemistry Revision Series | aleveler.com
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