Three lattice rows vary cell count, pitch, active cells, and layer count while checked bars and markers close the coverage and channel ledgers.

Coverage and channel count move with cell count, pitch, and layers. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Compact grid closes coverage

Cell count 4 with pitch 2 m gives total length 8 m. Layer count 2 gives channels 8.

L=4×2=8,C=2×4=8L=4\times2=8,\quad C=2\times4=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

More cells raise channel count

Cell count 6 with pitch 1 m gives total length 6 m. Layer count 2 gives channels 12.

L=6×1=6,C=2×6=12L=6\times1=6,\quad C=2\times6=12
Cell latticeFinite cells set the detector length.c0c1c2c3c4c5total=6 mactive=4 mcellCount=6 countpitch=1 mtotalLength=6 mactiveCells=4 countactiveLength=4 mactiveFraction=2/3 ratiolayerCount=2 countchannelCount=12 count

Wider pitch raises total length

Cell count 5 with pitch 3 m gives total length 15 m. Layer count 3 gives channels 15.

L=5×3=15,C=3×5=15L=5\times3=15,\quad C=3\times5=15
Cell latticeFinite cells set the detector length.c0c1c2c3c4total=15 mactive=3 mcellCount=5 countpitch=3 mtotalLength=15 mactiveCells=1 countactiveLength=3 mactiveFraction=1/5 ratiolayerCount=3 countchannelCount=15 count