learning goals week 3

src/lecture_3.md

@@ -14,6 +14,14 @@ pi = np.pi
 _(based on chapters 5–8 of the book)_  
 Exercises 5.2, 6.2, 6.3, 6.4, 6.5
 
+!!! summary "Learning goals"
+
+    After this lecture you will be able to:
+
+    - Describe the shell-filling model of atoms
+    - Derive the LCAO model
+    - Obtain the spectrum of the LCAO model of several orbitals
+
 ## Looking back
 
 So far we have:
@@ -133,6 +141,16 @@ An occupied $\psi_-$ increases the molecule energy as the atoms move closer ⇒
 
 Therefore if each atom has a single electron in the outermost shell, these atoms attract, if there are 0 or 2 electrons, the net electron force cancels (but electrostatic repulsion remains).
 
+*[LCAO]: Linear Combination of Atomic Orbitals
+
+!!! summary "Learning goals"
+
+    After this lecture you will be able to:
+
+    - Explain the origins of interatomic forces
+    - Compute vibrational spectra of small molecules in 1D
+    - Write down Hamiltonians and equations of motion of bulk materials (but not yet solve them)
+
 ## Adding repulsion
 
 If bringing two atoms closer would keep increasing energy, any covalent bond would collapse; eventually the two atoms must start repelling (at least when the nuclei get close, but really already much earlier).