Alloy Junction 1952 Slice the Germanium
# Slice the Germanium: Fixing the One Number Nothing Downstream Can Ever Exceed
Unlike a cut through a grown-junction ingot, nothing about where or how this crystal gets sliced reads out a structure that already exists — this crystal is uniformly N-type end to end, with no junctions anywhere in it yet, so slicing here is a pure geometry-and-yield problem rather than an act of selecting which cross-section to expose. But a wafer's thickness, chosen at this step and never revisited, quietly becomes the single hardest ceiling the rest of this entire process will operate under: every later step that controls how deep the alloyed junctions reach into the material is working inside a budget this step sets once, now, with no opportunity to correct it later.
## 1. Thickness and Kerf Loss Trade Off Directly Against Wafer Count
Every pass of the diamond saw removes a kerf width $w_{\text{kerf}}$ of material as waste in addition to the wafer thickness $t_{\text{slice}}$ itself, so the number of wafers obtainable from step five's usable length $L_{\text{usable}}$ falls as either thickness or kerf width increases — a thinner target wafer yields more pieces from the same crystal, at the cost of handling a more fragile slice through every later mechanical step in this process. This is a genuine economic trade, not a free choice: the thinnest wafer that still survives lapping, etching, and handling intact is the one that maximizes yield from a crystal that step five has already fixed in length.
## 2. Real Diagram: Each Cut Removes Material the Next Wafer Never Gets Back
## 3. This Wafer's Thickness Is the Upper Bound on Every Later Base-Width Control
This is the governing relationship for the entire remainder of this process: once the two junctions are eventually alloyed into opposite faces of this wafer, the surviving base width $W_B$ is whatever is left after the emitter junction depth $x_E$ and collector junction depth $x_C$ are each subtracted from this step's slice thickness $t_{\text{slice}}$. Nothing about how carefully the furnace schedule, dopant dose, or cooling rate is controlled dozens of steps from now can produce a base width larger than this step's own thickness choice allows — $t_{\text{slice}}$ sets the ceiling the entire alloying sequence will spend its effort approaching from below, never exceeding.
## Slice the Germanium's Place in the Process Lineage
Slicing the germanium is step six of RCA's forty-two-step alloy-junction manufacturing sequence — immediately after usable crystal sections have been selected, and before the individual slices are ground or lapped to their final geometry. It is the step that fixes a single number, wafer thickness, that the entire rest of this process — most directly the emitter and collector junction-depth budgets set roughly fourteen to twenty-two steps later — will operate underneath without ever being able to exceed. Step seven, grinding or lapping the slices, is the step that turns this step's rough-cut thickness into the precise, final geometry that number actually describes.