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The MEXTRAM standard has been supported by the members of
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Silicon Integration Initiative's Compact Model Coalition.
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A link to the most recent version of this standard can be
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found at: http://www.si2.org/cmc
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CMC Release Date: December 28, 2020
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Public Release Date: June 28, 2022
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// Copyright (c) 2000-2007, NXP Semiconductor
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// Copyright (c) 2007-2014, Delft University of Technology
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// Copyright (c) 2015-2020, Auburn University
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// All rights reserved, see IP_disclaimer_license.txt for further information.
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Mextram 505.2 Source Code
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Additions and changes compared to 505.1 include:
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- A new avalanche factor (Gem) model:
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swavl = 3, a new avalanche model, exavl is meaningful only when swavl=2 and 3.
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- A switch for turning on and off Gem limiting:
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swgemlim = 0 turns off Gem limiting.
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swgemlim = 1 (default) turns on Gem limiting.
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- A new extrinsic diffusion charge model:
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swqex = 0 (default) uses original Qex model.
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swqex = 1 uses new Qex model, new parameters are vdcex and tauex.
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- A new exmod = 3 option that removes Fex limiting (Fex = 1.0) in both Qex and XQex.
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- A new model parameter issr that describes asymmetry of saturation current "is" between forward and reverse mode.
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- Module name is now appended with "_va" to the model name, bjt505_va, bjt505t_va, bjtd505_va and bjtd505t_va.
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- "dt" is now a thermal instead of electrical node.
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- "dtemp" and "trise" are added as alias to "dta".
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- gmin implementation is updated following gmin subcommittee recommendation. Simulator “gmin” is used, 0 is used if simulator does not support gmin.
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- Flicker noise formulation updated following Geoffrey’s Q2 2020 recommendation.
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- A gmin current between CS junction is added when icss > 0.0.
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- EB tunneling current calculation is improved to improve stability and convergence at very low reverse bias:
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Izteb is set to zero for small VEB. Parameter vzmin is added to allow user to specify the minimum junction reverse voltage.
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Dzeb coding related to zeb and e_zeb is optimized to avoid a division of two zeros of the same order. The new coding produces a higher order zero in the numerator.
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A zeb offset of 1e-7 is further used to ensure stability.
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- CB tunneling current calculation is improved in a similar manner.
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- "mult" is now implemented at the branch level instead of parameter level.
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- The gmin current now scales with "mult".
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Mextram 505.1 Source Code
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Additions and changes compared to 505.00 are:
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- Add CS junction diode knee current ikcs.
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- Modified BCS high injection.
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- Add breakdown in CB junction leakage and its switch, swjbrcb = 0 (default), and 1.
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- Separate Isub into intrinsic Isub_int and extrinsic Isub with parameter xisubi. Isub_int is controlled by Vb2c2 and Isub is controlled by Vb1c4.
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- vexlim is set as model parameter.
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`MPRcc( vexlim ,400.0 ,"" ,40 ,400 ,"Upper limit of exp() function argument for convergence" )
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Mextram 505.00 Source Code
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Additions and changes compared to 504.12.1 are:
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- CB junction tunneling current model added.
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- vdcs are decoupled for quasi-saturation and C-V.
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vdc is dedicated for quasi-saturation.
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vdcctc and pc are dedicated for CV.
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vdcctc is used for CB tunneling.
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- Added temperature dependent non-ideality factors in main current, nff and nfr.
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- Diffusion charge and diffusion capacitance expressions are modified accordingly to maintain the same transit time.
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- Nonideality factors in ideal base current IB1 and IB1S are added.
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- Side-wall non-ideal base current IB2S are added.
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- Side-wall base current for reliability modeling IBrel is added.
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- Current gains (bf, bri) are no longer used. All base current components have their own saturation current and non-ideality factors where needed.
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- Nonideal reverse base current is now formulated the same way as forward non-ideal base current.
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- 1/f noise of all ideal base currents is now calculated from kf and af, and placed between B2 and E1.
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- 1/f noise of all non-ideal base currents is now calculated from kfn and afn, and placed between B1 and E1.
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- New avalanche current implementation using main current (In) as opposed to Ic1c2 as initiating current, and corresponding changes in Iavl limits.
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- New avalanche factor (Gem) model.
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- swavl, a switch parameter for avalanche factor.
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swavl = 0, no avalanche current,
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swavl = 1 (default), a new avalanche model,
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swavl = 2, Mextram 504 avalanche model. exavl is meaningful only when swavl=2.
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- Add vdcctc, diffusion voltage dedicated for CB depletion capacitance.
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- Add switch for Vjunc calculation, swvjunc, swvjunc = 0 (default), 1, and 2 (504).
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// Effective collector-base junction capacitance bias switch
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if (swvjunc == 0)
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Vjunc = Vb2c2;
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else if (swvjunc == 1)
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Vjunc = Vb2c1;
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else if (swvjunc == 2)
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Vjunc = Vb2c1 + Vxi0;
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- Add switch for transition voltage width Vch in CB capacitance-voltage curve smoothing, swvchc, swvchc=0 (default) and 1 (504).
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if (swvchc == 0)
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Vch = vdc_t * 0.1;
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else
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Vch = vdc_t * (0.1 + 2.0 * Ic1c2 / (Ic1c2 + Iqs));
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- Iex is now corrected to describe extrinsic BC junction current as hole injection into collector (in 504, it was described as electron injection current from collector to extrinsic base - which is not the case for real devices)
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- iks means now true substrate current's knee.
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- Change default value of parameter exsub from 0 to 1.
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- Change default range of parameter icss from (-inf, inf) to [0.0, inf) and Isf is directly calculated from icss.
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- p0star and pW clipping restored to solve convergence problems at high VCB.
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- Improvement of xext coding to allow xext = 0.
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- Types of numerical constants cleaned up.
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- Code reformatted to have asymmetric begin / end format.
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- Macros are rewritten for consistency. No trailing ";" should be used in macro calling.
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- gmin now can take value from both model card and simulator.
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gmin explicitly specified on model card has higher priority over gmin from simulator options.
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