Layer count multiplies the cell count, so two identical detector layers create a channel ledger rather than a new length scale. The count is exact only for the declared layers and cells per layer; real systems must track broken channels, misregistration between layers, cabling maps, and calibration uncertainty.

Two identical layers double the channel count. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Layer count multiplies cell count

There are 2 layers with 4 cells in each layer.

Nchannels=2×4N_{\text{channels}}=2\times4
Cell latticeFinite cells set the detector length.c0c1c2c3total=8 mactive=6 mcellCount=4 countpitch=2 mtotalLength=8 mactiveCells=3 countactiveLength=6 mactiveFraction=3/4 ratiolayerCount=2 countchannelCount=8 count

The detector exposes eight channels

The exact channel count is 8.

Nchannels=8N_{\text{channels}}=8
Cell latticeFinite cells set the detector length.c0c1c2c3total=8 mactive=6 mcellCount=4 countpitch=2 mtotalLength=8 mactiveCells=3 countactiveLength=6 mactiveFraction=3/4 ratiolayerCount=2 countchannelCount=8 count