Typos and errors in Lecture Notes

Figure 3.1 In the caption, magnetic field should be B not H.

Page 27, second equation from the bottom (two equations after Eq. 3.16), there is a missing factor of V on the right hand side

Page 29, where i define the Bohr magneton, this sentence is confusing. Should put a full stop after the equation.

Just after Eq. 3.17, "it is lower energy for spins to point down so more of them will point down." (it is written instead that more will point up!).

After Eq. 3.17 but before the next equation (on page 29). It says 'so we will have (g(E_F)/2 mu_B B more down spins'. There is a close-paranethesis missing. It should read "(g(E_F)/2) mu_B B".

Equation 4.5, the second term should be V_1 not V_2. Similar error is repeated two equations lower, and then the next equation as well.

In section 4.3 Vcross is usually called "direct" and the hopping term is sometimes called "exchange"

Table 4.1, Nobel should be Noble.

Figure 6.1, the frequencies of the acoustic and optical modes at the zone boundaries should be Sqrt[2 K1/m] and Sqrt[2 K2/m] respectively. The factors of 2 were left out. The same error occurs in the text at the top of page 74. Then the figure 6.1 is reproduced with the same error in fig 9.4 later.

Just below Eq. 6.7, it is written that the effective spring constant kappa = (K1 + K2)/(K1 K2). As was pointed out in lecture, it should read K1 K2/(K1+K2). (That is must have been incorrect can be seen dimensionally. How I managed to miss this twice, I do not know. Too little sleep probably).

Equation 7.4, the left hand subscript should be n not m. The error is repeated on the left hand side of the equation before 7.5

Definition 8.1.1. The words "primitive basis vectors" would probably be better as "primitive lattice vectors" everywhere in the notes. Both expressions are used in the literature (as is "primitive translation vector" and a few others). "Lattice vector" is probably better because we use the word "basis" in another sense as well.

Equation 9.5. The notation for Fourier transform is supposed to be script F. Here it is written as script FT by mistake.

Definition 9.1.3. The note after the definition should be part of the definition. A family of lattice planes should be an infinite set of equally separated lattice planes SUCH THAT all points of the lattice are included in one of the lattice planes.

Equation 9.10, the denominator of the right hand side should have a square root.

Figure 9.4. Same error as in Fig 6.1.

Figure 9.6. Turns out the size of the cube should be 4 pi/a on a side. This is a result of the fact that the principle lattice vectors of the fcc lattice are a[1/2,1/2,1/2]. This error was repeated in a slide shown in lecture (now fixed online)

Equation 10.9 is incorrect. It is a typo copied directly (without checking) from Kittel Eq. 50, eighth edition. In that equation the second equal sign should be a multiplication. oops! The correct answer is a bit more complicated.

Equation before 10.12. The bracket in the exponent in the first bracket should be [1/2,1/2,0] not [1/2,1/2,1/0]

In section 10.3, in the sample data given on page 133, this data has been normalized to remove geometric Lorentz factors. This is not stated in the notes (nor are these factors explained in the notes). So this is not "real" data, but rather data generated so that intensities follow Eq. 10.14. For those wondering what a Lorentz factor is, it is just a geometric factor (some sin thetas) that occurs in the intensities of X-ray and neutron scattering data. It is not explained well in many books, but if you google "Lorentz polarization factor" or "Lorentz factor diffraction" you will find some discussions of it. (It is nonexaminable at any rate).

Figure 11.1. The x-axis should be labelled with -pi/a and pi/a not -pi/2 and pi/2.

Section 11.1.1, the first order perturbation theory correction V_0 has been dropped everywhere since it is just a constant energy shift.

Eq. 11.1, 11.5, 11.7. There is a minor glitch regarding when it is written V_G and when V_G*. The definition used in 11.1 is the conjugate of that used in the last two lines of 11.5 and 11.7. Probably the correct fix is to switch V_G and V_G* in 11.5 and 11.7. At any rate, once one gets to 11.8 it doesn't matter.

Section 13.3. Third equation on page 173 should be g_h not g_e. (Actually g_v would have been a better notation).

Section 15.2, equation before 15.11. There is a minus sign missing from the right hand side. (Should be obvious).

The two equations after 19.3 are both messed up. There is a factor of 4 missing in one, and the next is worse