From boundary to evidence.
A complete walkthrough of the width change, the model checks and the measurement that comes next.
Synthetic voice · Captions embedded in the picture · Calculated and illustrative graphics · No laboratory footage
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MATTERVOLT — NARRATED MODEL WALKTHROUGH
Synthetic narration: offline Flite slt voice. Calculated, not measured.
Geometry sets the question
At a small enough scale, geometry changes the energies a quantum model allows. A boundary becomes part of the physics. MatterVolt starts with a precise question: how does changing a well width change its calculated energy spacing?
Half a nanometre. A calculable shift.
In this finite well model, a width of ten nanometres gives a first to second level gap of ninety one point one seven millielectronvolts. At ten point five nanometres, that gap becomes eighty five point zero seven. The predicted change is about minus six point one millielectronvolts.
The boundary assumption matters
An infinite wall is an idealization. A finite barrier permits the wavefunction to extend beyond the well. At ten nanometres, these two boundary assumptions give different energy gaps. The finite barrier model uses specified material masses and a specified barrier height.
Check the calculation
Two numerical approaches provide a consistency check: boundary matching, and a spatial grid solver. For the checked levels and widths, their largest difference is about zero point zero zero zero five four millielectronvolts. Agreement checks the calculation; it does not validate a physical device.
Design the measurement
The next step is a measurement plan, with paired sample widths, calibration, controls, and a stated uncertainty budget. The predicted shift must be compared with measurement uncertainty and material variation. This is a proposed experiment, not a demonstrated result.
From prediction to evidence
Calculation is the first gate. A credible program then specifies the experiment, measures the samples, and repeats the result. MatterVolt makes the assumptions visible, so the next decision can be tested. Calculated, not measured.
