General Chemistry 202-SN1-RE • CEGEP, Montreal

Revision sheet: atomic structure and electron configuration (202-SN1-RE)

Atomic structure is the most abstract chapter of 202-SN1-RE (formerly 202-NYA), and yet the one where the errors are the most mechanical: a wavelength in nanometres, an energy per atom compared with an energy per mole, the sign of a transition. The ideas are understood; the marks go elsewhere.

This sheet separates what belongs to the course from what belongs to the exam routine: the four filling rules, the two energy formulas and their units, the periodic trends and their anomalies, and the list of the conversions that cost the most.

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The thread of the chapter

This whole chapter rests on a single physical idea: an electron has only ALLOWED energies. Quantum numbers, configurations, spectra and periodicity are just four ways of reading that same constraint.

This chapter is part of 202-SN1-RE, General Chemistry

The essentials

The four quantum numbers and their bounds

  • • nn, a positive integer: the shell. It contains n2n^{2} orbitals and therefore at most 2n22n^{2} electrons.
  • • ll, an integer from 00 to n−1n-1: the subshell, written s, p, d, f. An ll equal to or greater than nn is FORBIDDEN.
  • • mlm_{l}: all the integers from −l-l to +l+l, hence 2l+12l+1 orbitals per subshell.
  • • ms=+12m_{s}=+\tfrac{1}{2} or −12-\tfrac{1}{2}: the spin, only two values.
  • • Three filling rules: Aufbau, in order of increasing energy 1s 2s 2p 3s 3p 4s 3d 4p1s\,2s\,2p\,3s\,3p\,4s\,3d\,4p; Pauli, at most two electrons per orbital and with opposite spins; Hund, one electron in each orbital before pairing up.
l = 0 (s)l = 1 (p)l = 2 (d)n = 11s1 orbital, 2 e⁻ at mostn = 22s2p2d: l = n forbidden4 orbitals, 8 e⁻ at mostn = 33s3p3d9 orbitals, 18 e⁻ at most
Each shell nn has n2n^{2} orbitals and its subshells stop at l=n−1l=n-1: the 2d2d box does not exist, and any set that calls for it is impossible.

A set of quantum numbers is checked from left to right: first l<nl<n, then ∣ml∣≤l|m_{l}|\le l, then ms=±12m_{s}=\pm\tfrac{1}{2}. A single violation makes the set impossible, and it is a course question on every exam.

The two energy formulas, and their units

  • • Photon: E=hν=hcλE=h\nu=\dfrac{hc}{\lambda}, with h=6.626×10−34h=6.626\times 10^{-34} J·s, c=3.00×108c=3.00\times 10^{8} m/s and λ\lambda IN METRES.
  • • Hydrogen levels: En=−2.18×10−18n2E_{n}=-\dfrac{2.18\times 10^{-18}}{n^{2}} J, and for an ion with a single electron En=−2.18×10−18Z2n2E_{n}=-\dfrac{2.18\times 10^{-18}Z^{2}}{n^{2}} J.
  • • Transition: ΔE=Efinal−Einitial\Delta E=E_{final}-E_{initial}. Negative when the atom EMITS, positive when it ABSORBS. The photon itself always has a positive energy ∣ΔE∣|\Delta E|.
  • • Photoelectric effect: Ek,max=hν−W0E_{k,max}=h\nu-W_{0}. Below the threshold nothing is ejected, whatever the intensity.
  • • Per atom or per mole: multiply by NA=6.022×1023N_{A}=6.022\times 10^{23} to go from joules per atom to joules per mole.
n = 1−21.8n = 2−5.45n = 3−2.42n = ∞0 (ionized)E (10⁻¹⁹ J)Lyman: ultravioletBalmer: visible
The levels crowd together toward the top: this is why transitions that fall back to n=1n=1 release much more energy, hence ultraviolet, than those that fall back to n=2n=2, which give visible light.

Two conversions alone account for half the marks lost on this chapter: nanometres to metres (11 nm =10−9=10^{-9} m) and joules per atom to kilojoules per mole.

Periodicity, and the two rules that explain it

  • • The effective nuclear charge ZeffZ_{eff} INCREASES from left to right across a period, because protons are added without adding a shell.
  • • Atomic radius: DECREASES from left to right (stronger attraction), INCREASES from top to bottom (one more shell).
  • • Ionization energy and electronegativity follow the OPPOSITE trend to the radius: the smaller the atom, the harder it is to ionize.
  • • A CATION is always smaller than its atom, an ANION always larger: the first often loses a whole shell, the second adds repulsion without adding a proton.
  • • Anomalies to know: boron below beryllium and oxygen below nitrogen for ionization energy, due respectively to the move into a p subshell and to the first paired electrons.
period 2Li152Be112B85C77N75O73F72period 3Na186Mg160Al143Si117P110S103Cl99Zeff increases: the radius SHRINKSone moreshell:it GROWSatomic radii in pm, to scale
Along a period the nucleus pulls harder and the atom SHRINKS; from one period to the next, one more shell makes it GROW.

Successive ionization energies give the group: the sharp JUMP occurs as soon as the electron core is attacked, hence right after the last valence electron.

The mistakes that cost marks

These are the errors I correct most often in session. Each one costs marks on a paper, even when the reasoning behind it is right.

1. Leaving a wavelength in nanometres in the energy formula

3 marks, and a factor of 10910^{9} on the result

What not to write

“λ=657\lambda=657 nm, so E=hcλ=(6.626×10−34)(3.00×108)657=3.03×10−28E=\dfrac{hc}{\lambda}=\dfrac{(6.626\times 10^{-34})(3.00\times 10^{8})}{657}=3.03\times 10^{-28} J.”

What to write

“λ=657\lambda=657 nm =6.57×10−7=6.57\times 10^{-7} m, so E=3.03×10−19E=3.03\times 10^{-19} J.”

Why: The constants hh and cc are given in SI units. Every length that enters the same formula must be in SI units too, otherwise the result is off by exactly one billion.

2. Getting the sign wrong between emission and absorption

2 marks, and a spectral series misidentified

What not to write

“The atom goes from n=3n=3 to n=2n=2, so it absorbs a photon of energy ΔE=+3.03×10−19\Delta E=+3.03\times 10^{-19} J.”

What to write

“ΔE=E2−E3=−3.03×10−19\Delta E=E_{2}-E_{3}=-3.03\times 10^{-19} J: the atom GOES DOWN, so it EMITS. The photon carries off 3.03×10−193.03\times 10^{-19} J, a positive value.”

n = 2n = 3absorptionthe atom GOES UPΔE > 0n = 2n = 3emissionthe atom GOES DOWNΔE < 0the photon carries |ΔE| = 3.03 × 10⁻¹⁹ J, always positive
The sign of ΔE\Delta E follows the atom: it goes up when absorbing, down when emitting. The photon always has the same positive energy ∣ΔE∣|\Delta E|.

Why: The sign of ΔE\Delta E describes the ATOM, the photon energy describes the light. Going down releases energy, going up costs energy: that is the only direction to remember, and it decides whether we are talking about emission or absorption.

3. Removing the electrons from the d subshell to form a transition metal cation

the whole question, 4 marks, and the magnetism wrong as a consequence

What not to write

“Iron is [Ar]4s23d6[Ar]4s^{2}3d^{6}, so Fe2+Fe^{2+} is [Ar]4s23d4[Ar]4s^{2}3d^{4}.”

What to write

“We first remove the electrons from the shell with the largest nn: Fe2+Fe^{2+} is [Ar]3d6[Ar]3d^{6}, with no 4s4s electron at all.”

Fe : [Ar]4s3dfilling: 4s then 3dFe²⁺ : [Ar]4s3d3d was emptiedFe²⁺ : [Ar]4s3d4s leaves first
We fill 4s4s before 3d3d, but we empty 4s4s first: Fe2+Fe^{2+} has no 4s4s electron left and keeps its six 3d3d electrons.

Why: The order of FILLING (4s4s before 3d3d) is not the order of EMPTYING. Once 3d3d is occupied, it drops below 4s4s in energy, which becomes the outer shell and leaves first.

4. Believing that raising the light intensity will eventually eject an electron

the whole reasoning question, 4 marks

What not to write

“Red light ejects nothing from this metal, but with a lamp a hundred times more powerful it will work.”

What to write

“Ejection depends on the FREQUENCY of each photon, not on the number of photons. Below the threshold ν0=W0h\nu_{0}=\dfrac{W_{0}}{h}, nothing is ejected, whatever the intensity.”

1234567891011120.511.522.533.5threshold ν₀ = 4.84red, 100× moreintense: still 0violet, weak or strongintensity: 1.10 eVslope hfrequency (10¹⁴ Hz)Ek max (eV)
To the left of the threshold the curve is FLAT AT ZERO: no frequency that is too low ejects anything. Intensity multiplies the number of electrons, never their energy.

Why: An electron absorbs ONE photon at a time. A hundred photons that are too weak remain a hundred photons that are too weak: this is exactly the experiment that forced the notion of the quantum.

5. Calculating an average atomic mass without weighting by the abundances

3 marks

What not to write

“Chlorine has two isotopes, 34.9734.97 and 36.9736.97: its atomic mass is 34.97+36.972=35.97\dfrac{34.97+36.97}{2}=35.97 u.”

What to write

“With 75.77%75.77\% and 24.23%24.23\%: M=0.7577(34.97)+0.2423(36.97)=35.45M=0.7577(34.97)+0.2423(36.97)=35.45 u, which the periodic table confirms.”

3537u³⁵Cl75.77%³⁷Cl24.23%simple mean 35.97: wrongweighted 35.45: the table
Chlorine 35 weighs three times as much in the mixture: the true average falls near 35, at 35.4535.45, not midway between the two isotopes.

Why: The mass in the table is a WEIGHTED average. Comparing your result with the periodic table value is, incidentally, the quickest check in the chapter.

6. Believing that an anion is smaller than its atom

3 marks, and a radius ranking that is entirely wrong

What not to write

“Cl−Cl^{-} has gained an electron, so it is more compact than ClCl.”

What to write

“Cl−Cl^{-} is LARGER than ClCl: one more electron for the same number of protons, hence more repulsion and a lower effective nuclear charge per electron.”

Na186 pmCl99 pmNa⁺102 pmCl⁻181 pmatomionloses its outer shellgains 1 e⁻
Without its outer shell the cation SHRINKS a lot; the anion, with one more electron for the same number of protons, GROWS.

Why: What decides the size is the ratio between the number of protons and the number of electrons. Adding an electron without adding a proton expands the cloud; removing one contracts it, and the cation often loses a whole shell.

7. Writing the configuration of chromium or copper without the exception

2 marks, and the number of unpaired electrons wrong

What not to write

“Chromium, Z=24Z=24: [Ar]4s23d4[Ar]4s^{2}3d^{4}.”

What to write

“[Ar]4s13d5[Ar]4s^{1}3d^{5}: a half-filled dd subshell is more stable. Likewise copper is [Ar]4s13d10[Ar]4s^{1}3d^{10}, never 4s23d94s^{2}3d^{9}.”

Cr : [Ar]4s3dAufbau aloneCr : [Ar]4s3d3d half-filled: 6 unpairedCu : [Ar]4s3d3d full: 4s¹ 3d¹⁰
Chromium and copper move one 4s4s electron into 3d3d to get a half-filled or full dd subshell: the number of unpaired electrons changes with it.

Why: These two exceptions are the only ones required at the CEGEP level, and they are paid for twice: first on the configuration, then on paramagnetism, which counts the unpaired electrons.

8. Confusing an energy per atom with an energy per mole

3 marks

What not to write

“The ionization of hydrogen costs 2.18×10−182.18\times 10^{-18} kJ/mol.”

What to write

“2.18×10−182.18\times 10^{-18} J per ATOM, that is 2.18×10−18×6.022×1023=1.31×1062.18\times 10^{-18}\times 6.022\times 10^{23}=1.31\times 10^{6} J/mol, or 13101310 kJ/mol.”

Why: Tables of ionization energies are in kilojoules per mole, quantum formulas in joules per atom. Going from one to the other takes NAN_{A} and then a division by a thousand.

9. Proposing an impossible set of quantum numbers

2 marks per set, and the question is often asked five times

What not to write

“n=2n=2, l=2l=2, ml=0m_{l}=0, ms=+12m_{s}=+\tfrac{1}{2} describes a 2d2d electron.”

What to write

“ll can only go up to n−1n-1, so l=2l=2 is forbidden for n=2n=2: the 2d2d subshell does not exist.”

Why: The bounds are not conventions, they come out of solving the wave equation. This is also why there are only two electrons in the first shell and eight in the second.

10. Reading the wrong position in the successive ionization energies

3 marks

What not to write

“The jump occurs after the third ionization, so the element is in period 3.”

What to write

“The jump after the third ionization says there are THREE valence electrons, so the element is in GROUP 13, not period 3.”

123456200040006000800010000120001400016000jump after the 3rd3 valence electronsso group 13not “period 3”ionization numberionization energy (kJ/mol)
The jump occurs after the THIRD ionization: three valence electrons, hence column 13. The position of the jump gives the group, never the period.

Why: The jump marks the passage into the electron core. It therefore counts valence electrons, which gives the column, never the row of the periodic table.

Which method to choose

Which energy formula to use

The quantity given in the problem

  • If the problem gives a wavelength or a frequency → E=hcλE=\dfrac{hc}{\lambda} or E=hνE=h\nu, after converting to metres and hertz

    Example: 657657 nm gives 3.03×10−193.03\times 10^{-19} J

  • If the problem gives two levels nn of hydrogen → ΔE=−2.18×10−18(1nf2−1ni2)\Delta E=-2.18\times 10^{-18}\left(\dfrac{1}{n_{f}^{2}}-\dfrac{1}{n_{i}^{2}}\right) then λ=hc∣ΔE∣\lambda=\dfrac{hc}{|\Delta E|}

    Example: from n=3n=3 to n=2n=2, red line at 657657 nm

  • If the problem is about an ion with ONE electron only → same formula multiplied by Z2Z^{2}

    Example: He+He^{+} has levels four times deeper than hydrogen

  • If the problem is about an illuminated metal and ejected electrons → Ek,max=hν−W0E_{k,max}=h\nu-W_{0}, with the threshold ν0=W0h\nu_{0}=\dfrac{W_{0}}{h}

    Example: a work function of 2.02.0 eV gives a threshold at 4.84×10144.84\times 10^{14} Hz

  • If the problem gives a mass and a speed and talks about wavelength → de Broglie, λ=hmv\lambda=\dfrac{h}{mv}, never the photon formula

    a macroscopic object gives a wavelength of the order of 10−3410^{-34} m, hence unobservable

Before any calculation, write down the target units: joules per atom, kilojoules per mole, electronvolts. The factor NAN_{A} and the factor 1.602×10−191.602\times 10^{-19} are never forgotten once the target is written in advance.

How to write an electron configuration

The requested species: neutral atom, cation, anion

  • If neutral atom of the s or p block → direct Aufbau, stopping at the right number of electrons

    Example: SS, Z=16Z=16: 1s22s22p63s23p41s^{2}2s^{2}2p^{6}3s^{2}3p^{4}

  • If neutral atom of the d block → Aufbau, THEN check whether it is chromium or copper

    Example: CrCr: [Ar]4s13d5[Ar]4s^{1}3d^{5}, not 4s23d44s^{2}3d^{4}

  • If cation of a transition metal → start from the neutral atom and remove first the electrons with the largest nn, hence the 4s4s

    Example: Fe2+Fe^{2+}: [Ar]3d6[Ar]3d^{6}

  • If anion → add the electrons following Aufbau, which often gives the configuration of the next noble gas

    Example: Cl−Cl^{-}: [Ne]3s23p6[Ne]3s^{2}3p^{6}, isoelectronic with argon

  • If the problem asks about paramagnetism → draw the orbital boxes of the LAST subshell and apply Hund's rule

    a single unpaired electron is enough to make the species paramagnetic

Always check the total: the sum of the exponents must equal ZZ for a neutral atom, ZZ minus the charge for a cation, ZZ plus the charge for an anion. This check takes three seconds and catches almost every error.

How the answer is expected to be written

A marker ticks steps. Here they are in order, with the concluding sentence expected word for word.

Calculating the wavelength of an electronic transition

When to use it: The problem gives two levels of hydrogen or of a hydrogen-like ion and asks for the colour, the wavelength or the series.

  1. 1 Write the two energies separately with their sign: EiE_{i} and EfE_{f}, in joules.
  2. 2 Calculate ΔE=Ef−Ei\Delta E=E_{f}-E_{i} and state explicitly whether it is an emission or an absorption according to its sign.
  3. 3 Take the ABSOLUTE VALUE for the photon energy, then λ=hc∣ΔE∣\lambda=\dfrac{hc}{|\Delta E|} with all quantities in SI units.
  4. 4 Convert to nanometres and name the region: ultraviolet below 400400 nm, visible between 400400 and 700700 nm, infrared beyond.
  5. 5 Identify the series from the FINAL level: Lyman to n=1n=1, Balmer to n=2n=2, Paschen to n=3n=3.

Concluding sentence

“The transition from n=3n=3 to n=2n=2 gives ΔE=−3.03×10−19\Delta E=-3.03\times 10^{-19} J: the atom emits a photon of 3.03×10−193.03\times 10^{-19} J, that is λ=657\lambda=657 nm, a red line of the Balmer series.”

The trap: Naming the series after the starting level. It is always the FINAL level that gives the name, because it is the one that sets the order of magnitude of the energy released.

Marking: Typically 1 mark for the two energies, 1 for the interpreted sign, 2 for the wavelength, 1 for the region and the series.

Justifying a periodic ranking

When to use it: The problem asks you to rank species by radius, by ionization energy or by electronegativity.

  1. 1 Locate each species in the table: period and group, writing its configuration if needed.
  2. 2 Apply the period rule, explicitly invoking ZeffZ_{eff}, which grows to the right.
  3. 3 Apply the group rule, explicitly invoking the number of shells, which grows going down.
  4. 4 Treat ions separately: cation smaller, anion larger, and for an isoelectronic series, more protons means smaller.
  5. 5 Conclude with a complete ranking using the inequality symbol, and point out the anomaly if there is one.

Concluding sentence

“Within a period, ZeffZ_{eff} grows from left to right, so the radius decreases; within a group, a shell is added, so the radius grows. We get r(Na+)<r(Cl)<r(Na)<r(Cl−)r(Na^{+})<r(Cl)<r(Na)<r(Cl^{-}).”

The trap: Comparing two species that are neither in the same period nor in the same group without going through a third. The table only gives trends along a row or a column.

Check before you hand in

Five minutes of checking recover more marks than one more problem started in a hurry.

The typical problem, taken apart

The hydrogen lamp, from the red line to the ionization energy

A discharge lamp contains atomic hydrogen. The line corresponding to the transition from n=3n=3 to n=2n=2 is observed.

Calculate the energy of the emitted photon and its wavelength, then identify the series and the spectral region. Then determine the ionization energy of hydrogen from its ground state, in joules per atom and in kilojoules per mole, as well as the longest wavelength able to ionize it.

Data: En=−2.18×10−18n2E_{n}=-\dfrac{2.18\times 10^{-18}}{n^{2}} J, h=6.626×10−34h=6.626\times 10^{-34} J·s, c=3.00×108c=3.00\times 10^{8} m/s, NA=6.022×1023N_{A}=6.022\times 10^{23} /mol.

Step 1

E3=−2.18×10−189=−2.422×10−19E_{3}=-\dfrac{2.18\times 10^{-18}}{9}=-2.422\times 10^{-19} J and E2=−2.18×10−184=−5.450×10−19E_{2}=-\dfrac{2.18\times 10^{-18}}{4}=-5.450\times 10^{-19} J.

Why

Writing the two energies separately, with their negative sign, avoids the sign error on the next line. Level 22 is LOWER than level 33, which is immediately visible on these two numbers.

Step 2

ΔE=E2−E3=−5.450×10−19+2.422×10−19=−3.028×10−19\Delta E=E_{2}-E_{3}=-5.450\times 10^{-19}+2.422\times 10^{-19}=-3.028\times 10^{-19} J. The sign is negative, so the atom EMITS a photon of energy 3.028×10−193.028\times 10^{-19} J.

Why

The interpretation sentence is worth a mark on its own in most marking schemes, and it stops you from carrying a negative sign into the wavelength formula, where it would make no sense.

Step 3

λ=hc∣ΔE∣=(6.626×10−34)(3.00×108)3.028×10−19=6.566×10−7\lambda=\dfrac{hc}{|\Delta E|}=\dfrac{(6.626\times 10^{-34})(3.00\times 10^{8})}{3.028\times 10^{-19}}=6.566\times 10^{-7} m, that is 657657 nm.

Why

The formula gives the result in metres, and only at the end do we convert to nanometres to make it readable. The reverse, converting first, is exactly the error of the first trap.

Step 4

657657 nm lies between 400400 and 700700 nm: it is VISIBLE, in the red. The final level is n=2n=2, so the line belongs to the Balmer series.

Why

Naming the series after the final level rather than the starting one is the one point to remember here, and it turns up on every exam in one form or another.

Step 5

Ionization from n=1n=1: ΔE=E∞−E1=0−(−2.18×10−18)=2.18×10−18\Delta E=E_{\infty}-E_{1}=0-(-2.18\times 10^{-18})=2.18\times 10^{-18} J per atom, a POSITIVE value since energy must be supplied.

Why

Ionization is defined as the move to level n=∞n=\infty, where the energy is zero by convention. This zero is not arbitrary here: it is what makes all the other energies negative.

Step 6

Per mole: 2.18×10−18×6.022×1023=1.313×1062.18\times 10^{-18}\times 6.022\times 10^{23}=1.313\times 10^{6} J/mol, that is 13131313 kJ/mol.

Why

This value is tabulated at 13121312 kJ/mol: recovering it validates in one go the constant used, the conversion by NAN_{A} and the division by a thousand.

Step 7

Longest ionizing wavelength: λmax=hc2.18×10−18=9.12×10−8\lambda_{max}=\dfrac{hc}{2.18\times 10^{-18}}=9.12\times 10^{-8} m, that is 91.291.2 nm.

Why

The word LONGEST often surprises: the greater the wavelength, the less energetic the photon, so it is indeed a maximum of wavelength that corresponds to the minimum energy required.

Step 8

Check: 91.291.2 nm is far below 400400 nm, so in the far ultraviolet, and the energy of this photon is well above that of the red line, in a ratio 2.180.3028=7.2\dfrac{2.18}{0.3028}=7.2.

Why

This ratio checks the two results against each other. An ionizing line less energetic than a visible line would be absurd, and that absurdity can be seen without recalculating.

The conclusion, written out

“The transition from n=3n=3 to n=2n=2 emits a photon of 3.03×10−193.03\times 10^{-19} J, that is 657657 nm, a red line of the Balmer series; ionization from the ground state requires 2.18×10−182.18\times 10^{-18} J per atom, that is 13131313 kJ/mol, which corresponds to a photon of at most 91.291.2 nm.”

The classic mistake on this problem: Calculating λ\lambda while leaving ΔE\Delta E negative, or leaving λ\lambda in nanometres in E=hcλE=\dfrac{hc}{\lambda}. The first gives a negative wavelength, the second an energy a billion times too small: in both cases, the order of magnitude is enough to spot the error.

Learn by heart

  • • ll runs from 00 to n−1n-1; mlm_{l} from −l-l to +l+l; ms=±12m_{s}=\pm\tfrac{1}{2}. A shell nn holds 2n22n^{2} electrons.
  • • E=hcλE=\dfrac{hc}{\lambda} with λ\lambda IN METRES: 11 nm =10−9=10^{-9} m.
  • • En=−2.18×10−18Z2n2E_{n}=-\dfrac{2.18\times 10^{-18}Z^{2}}{n^{2}} J. ΔE<0\Delta E<0 means EMISSION, ΔE>0\Delta E>0 ABSORPTION.
  • • Series named after the FINAL level: Lyman to 11 (UV), Balmer to 22 (visible), Paschen to 33 (IR).
  • • Photoelectric effect: Ek,max=hν−W0E_{k,max}=h\nu-W_{0}; below the threshold, the intensity changes nothing.
  • • Cations: remove first the electrons with the largest nn, so the 4s4s before the 3d3d.
  • • Exceptions to know: Cr=[Ar]4s13d5Cr=[Ar]4s^{1}3d^{5} and Cu=[Ar]4s13d10Cu=[Ar]4s^{1}3d^{10}.
  • • A cation is SMALLER than its atom, an anion LARGER. The jump in successive ionizations gives the GROUP.

Frequently asked questions

Why are 4s electrons removed before 3d electrons when forming an ion?

Because the order of filling is not the order of emptying. The 4s subshell fills first because it is then the lowest in energy, but once the 3d is occupied, it drops below. The outer shell therefore becomes the fourth, and its electrons leave first. The Fe²⁺ ion is thus written with only 3d electrons.

How do I know which spectral series a line belongs to?

Look at the final level of the transition, never the starting level. A landing on the first level gives the Lyman series, in the ultraviolet. A landing on the second gives the Balmer series, in the visible. A landing on the third gives the Paschen series, in the infrared.

Why does brighter light not eject an electron more easily?

Because an electron absorbs a single photon at a time. If that photon does not have enough energy, nothing happens, and multiplying the number of photons does not change the energy of each one. Only the frequency counts for crossing the threshold. Intensity then raises the number of ejected electrons, never their energy.

Is an ion larger or smaller than the atom it comes from?

A cation is smaller, because it has lost electrons, often a whole outer shell, while the number of protons has not changed. An anion is larger, because it has gained an electron without gaining a proton: the repulsion between electrons increases and the cloud expands.

How do I find the group of an element from its ionization energies?

Look for the sharp jump between two successive ionizations. The number of electrons removed before that jump is the number of valence electrons, so it gives the column of the periodic table. A jump after the second ionization signals two valence electrons, that is, an alkaline earth metal.

Which electron configurations are exceptions at the CEGEP level?

Only two are required: chromium and copper. Chromium keeps one electron in the 4s subshell and five in the 3d subshell, rather than two and four. Copper takes one and ten rather than two and nine. In both cases, a half-filled or completely filled d subshell is more stable.

Practise it

Corrected exercises: Atomic structure and electron configuration, 202-SN1-RE

A method is proved on a paper, not on a sheet. The set for the same chapter takes each of these traps into a problem, with the solution written out step by step.

  • 10 corrected exercises
  • 100 points
  • 150 minutes
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Get in touch for a first session. On this chapter, we first install the reflexes for units and signs: that is where the marks go, never in understanding the model.

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