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TLT-005B: PRESSURE AS AMPLITUDE — REFRAMED DATA
(Audit-corrected 2026-03-13)
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Date: 2026-03-13

FRAMING:
  f (frequency) = mass = energy coalescence = CONSTANT under P
  A (amplitude) = pressure = wave intensity = VARIABLE under P
  t (decoherence) = geometric expression = OBSERVED (CN)

AUDIT CORRECTIONS APPLIED:
  FIX 1: Group-based e-transfer classification (independent of CN)
  FIX 2: N-fold mapping flagged as model assumption (not used here)
  FIX 3: Per-step transition null model added

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ELEMENT TABLE WITH COMPTON FREQUENCIES
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Li (Lithium, Z=3):
  Mass = 6.941 amu
  Compton freq = 1.5634e+24 Hz (CONSTANT)
  Compton wvl  = 1.9176e-16 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 8 -> 6 (-2)
        0.0 GPa: BCC      CN= 8 | Im-3m, alkali metal
        7.5 GPa: FCC      CN=12 | Fm-3m. Hanfland 2000
       39.0 GPa: cI16     CN= 8 | Complex BCC derivative. Guillaume 2011. s-d transfer
       60.0 GPa: ortho    CN= 6 | Cmca-24. Guillaume 2011. Becomes semiconductor!

C (Carbon, Z=6):
  Mass = 12.011 amu
  Compton freq = 2.7053e+24 Hz (CONSTANT)
  Compton wvl  = 1.1082e-16 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 4 -> 6 (+2)
        0.0 GPa: diamond  CN= 4 | Fd-3m, sp3
     1000.0 GPa: BC8      CN= 4 | DFT predicted. Yin & Cohen 1983. [DFT]
     3000.0 GPa: SC       CN= 6 | DFT predicted simple cubic. Martinez-Canales 2012 [DFT]

Na (Sodium, Z=11):
  Mass = 22.990 amu
  Compton freq = 5.1781e+24 Hz (CONSTANT)
  Compton wvl  = 5.7896e-17 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 8 -> 12 (+4)
        0.0 GPa: BCC      CN= 8 | Im-3m, alkali metal
       65.0 GPa: FCC      CN=12 | Close-packed. Gregoryanz 2008
      104.0 GPa: cI16     CN= 8 | Complex BCC derivative. Ma 2009. s-d transfer
      117.0 GPa: oP8      CN= 6 | Orthorhombic. Ma 2009. Transparent insulator!
      200.0 GPa: dhcp     CN=12 | Double HCP. Gregoryanz 2008

Mg (Magnesium, Z=12):
  Mass = 24.305 amu
  Compton freq = 5.4743e+24 Hz (CONSTANT)
  Compton wvl  = 5.4763e-17 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 12 -> 8 (-4)
        0.0 GPa: HCP      CN=12 | P6_3/mmc, typical HCP metal
       50.0 GPa: BCC      CN= 8 | Im-3m. Olijnyk 1985. s-d transfer suspected

Al (Aluminum, Z=13):
  Mass = 26.982 amu
  Compton freq = 6.0773e+24 Hz (CONSTANT)
  Compton wvl  = 4.9330e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: FCC      CN=12 | Fm-3m, typical metal
      217.0 GPa: HCP      CN=12 | Close-packed. Akahama 2006

Si (Silicon, Z=14):
  Mass = 28.085 amu
  Compton freq = 6.3257e+24 Hz (CONSTANT)
  Compton wvl  = 4.7393e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: non_monotonic
  Overall CN: 4 -> 12 (+8)
        0.0 GPa: diamond  CN= 4 | Semiconductor, Fd-3m
       11.7 GPa: beta-Sn  CN= 6 | Metallic, I4_1/amd. Hu et al. 1986
       13.2 GPa: ortho    CN= 8 | Imma phase. Duclos et al. 1987
       15.4 GPa: SC       CN= 6 | Simple hexagonal sh. McMahon 1994
       38.0 GPa: ortho    CN=10 | Cmca phase. Hanfland 1999
       42.0 GPa: HCP      CN=12 | Close-packed. Duclos 1987
       79.0 GPa: FCC      CN=12 | Close-packed. Duclos 1987

P (Phosphorus, Z=15):
  Mass = 30.974 amu
  Compton freq = 6.9764e+24 Hz (CONSTANT)
  Compton wvl  = 4.2972e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 3 -> 8 (+5)
        0.0 GPa: ortho    CN= 3 | Black P, Cmca. Puckered layers
        5.0 GPa: rhombo   CN= 6 | A7 phase. Akahama 1999
       10.0 GPa: SC       CN= 6 | Simple cubic. Akahama 1999
      137.0 GPa: ortho    CN= 8 | Cmcm. Akahama 1999
      262.0 GPa: BCC      CN= 8 | BCC phase. Akahama 1999

S (Sulfur, Z=16):
  Mass = 32.060 amu
  Compton freq = 7.2210e+24 Hz (CONSTANT)
  Compton wvl  = 4.1517e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: monotonic
  Overall CN: 2 -> 8 (+6)
        0.0 GPa: ortho    CN= 2 | S8 rings, Fddd
        3.0 GPa: mono     CN= 3 | Helical chains. Degtyareva 2007
       83.0 GPa: rhombo   CN= 6 | beta-Po type. Degtyareva 2007
      153.0 GPa: BCC      CN= 8 | Im-3m. Degtyareva 2007

K (Potassium, Z=19):
  Mass = 39.098 amu
  Compton freq = 8.8062e+24 Hz (CONSTANT)
  Compton wvl  = 3.4043e-17 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 8 -> 6 (-2)
        0.0 GPa: BCC      CN= 8 | Im-3m, alkali metal
       11.6 GPa: FCC      CN=12 | Fm-3m. Lundegaard 2009
       20.0 GPa: cI16     CN= 8 | Host-guest. Marques 2011. s-d transfer
       54.0 GPa: oP8      CN= 6 | Orthorhombic. Marques 2011. Transparent insulator!

Ca (Calcium, Z=20):
  Mass = 40.078 amu
  Compton freq = 9.0269e+24 Hz (CONSTANT)
  Compton wvl  = 3.3211e-17 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 12 -> 10 (-2)
        0.0 GPa: FCC      CN=12 | Fm-3m, alkaline earth
       19.5 GPa: BCC      CN= 8 | Im-3m. Olyjnik 1984. s-d transfer onset
       32.0 GPa: SC       CN= 6 | Simple cubic alpha-Mn type. Olyjnik 1984
      113.0 GPa: cI16     CN= 8 | Host-guest. Yabuuchi 2006. Superconductor!
      139.0 GPa: ortho    CN=10 | Oribarra et al. 2011

Sc (Scandium, Z=21):
  Mass = 44.956 amu
  Compton freq = 1.0126e+25 Hz (CONSTANT)
  Compton wvl  = 2.9607e-17 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   NO
  Classification: non_monotonic
  Overall CN: 12 -> 8 (-4)
        0.0 GPa: HCP      CN=12 | P6_3/mmc
       23.0 GPa: BCC      CN= 8 | Akella 1971 (high T). Electronic transfer suspected

Ti (Titanium, Z=22):
  Mass = 47.867 amu
  Compton freq = 1.0781e+25 Hz (CONSTANT)
  Compton wvl  = 2.7807e-17 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   NO
  Classification: non_monotonic
  Overall CN: 12 -> 11 (-1)
        0.0 GPa: HCP      CN=12 | alpha-Ti. P6_3/mmc
        2.0 GPa: hex      CN= 8 | omega-Ti. P6/mmm. Electronic transfer
      116.0 GPa: ortho    CN=10 | gamma-Ti. Akahama 2001
      140.0 GPa: ortho    CN=11 | delta-Ti. Akahama 2001. Approaching close-packed

V (Vanadium, Z=23):
  Mass = 50.942 amu
  Compton freq = 1.1474e+25 Hz (CONSTANT)
  Compton wvl  = 2.6128e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 8 -> 8 (+0)
        0.0 GPa: BCC      CN= 8 | Im-3m, refractory metal
       69.0 GPa: rhombo   CN= 8 | R-3m. Ding 2007. Slight rhombohedral distortion

Cr (Chromium, Z=24):
  Mass = 51.996 amu
  Compton freq = 1.1711e+25 Hz (CONSTANT)
  Compton wvl  = 2.5599e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 8 -> 8 (+0)
        0.0 GPa: BCC      CN= 8 | Im-3m, refractory. Extremely stable BCC to >100 GPa

Mn (Manganese, Z=25):
  Mass = 54.938 amu
  Compton freq = 1.2374e+25 Hz (CONSTANT)
  Compton wvl  = 2.4228e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: monotonic
  Overall CN: 8 -> 12 (+4)
        0.0 GPa: BCC      CN= 8 | alpha-Mn, cI58, complex BCC derivative
      165.0 GPa: HCP      CN=12 | epsilon-Mn. Fujihisa 1995

Fe (Iron, Z=26):
  Mass = 55.845 amu
  Compton freq = 1.2578e+25 Hz (CONSTANT)
  Compton wvl  = 2.3834e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: monotonic
  Overall CN: 8 -> 12 (+4)
        0.0 GPa: BCC      CN= 8 | alpha-Fe, Im-3m
       13.0 GPa: HCP      CN=12 | epsilon-Fe. Mao 1990. Well-established

Co (Cobalt, Z=27):
  Mass = 58.933 amu
  Compton freq = 1.3274e+25 Hz (CONSTANT)
  Compton wvl  = 2.2585e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: HCP      CN=12 | P6_3/mmc, ferromagnetic
      105.0 GPa: FCC      CN=12 | Fm-3m. Yoo 2000. HCP->FCC is stacking change

Ni (Nickel, Z=28):
  Mass = 58.693 amu
  Compton freq = 1.3220e+25 Hz (CONSTANT)
  Compton wvl  = 2.2678e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: FCC      CN=12 | Fm-3m. Stable FCC to >100 GPa

Cu (Copper, Z=29):
  Mass = 63.546 amu
  Compton freq = 1.4313e+25 Hz (CONSTANT)
  Compton wvl  = 2.0946e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: FCC      CN=12 | Fm-3m. Extremely stable FCC to >150 GPa

Zn (Zinc, Z=30):
  Mass = 65.380 amu
  Compton freq = 1.4726e+25 Hz (CONSTANT)
  Compton wvl  = 2.0358e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: HCP      CN=12 | P6_3/mmc. Anomalous c/a ratio (~1.86 vs ideal 1.633)
       10.0 GPa: HCP      CN=12 | c/a normalizes toward ideal under pressure. Takemura 1997

Ga (Gallium, Z=31):
  Mass = 69.723 amu
  Compton freq = 1.5704e+25 Hz (CONSTANT)
  Compton wvl  = 1.9090e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: monotonic
  Overall CN: 7 -> 12 (+5)
        0.0 GPa: ortho    CN= 7 | Cmca, unique. Only elemental metal with CN=7
        2.0 GPa: ortho    CN= 8 | Ga-II. Degtyareva 2004
       14.0 GPa: ortho    CN=10 | Ga-III. Degtyareva 2004
      120.0 GPa: FCC      CN=12 | Close-packed at high pressure. Degtyareva 2004

Ge (Germanium, Z=32):
  Mass = 72.630 amu
  Compton freq = 1.6359e+25 Hz (CONSTANT)
  Compton wvl  = 1.8326e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: non_monotonic
  Overall CN: 4 -> 12 (+8)
        0.0 GPa: diamond  CN= 4 | Semiconductor, Fd-3m
       11.0 GPa: beta-Sn  CN= 6 | Metallic, I4_1/amd. Menoni 1986
       75.0 GPa: ortho    CN= 8 | Imma phase. Takemura 2001
       85.0 GPa: SC       CN= 6 | Simple hexagonal. Takemura 2001
      102.0 GPa: ortho    CN=10 | Cmca phase. Takemura 2001
      160.0 GPa: HCP      CN=12 | Close-packed. Takemura 2001

As (Arsenic, Z=33):
  Mass = 74.922 amu
  Compton freq = 1.6875e+25 Hz (CONSTANT)
  Compton wvl  = 1.7765e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 3 -> 8 (+5)
        0.0 GPa: rhombo   CN= 3 | A7 structure, R-3m. Semimetal
       25.0 GPa: SC       CN= 6 | Simple cubic. Beister 1990
       48.0 GPa: ortho    CN= 8 | Cmcm. Beister 1990
       97.0 GPa: BCC      CN= 8 | High pressure BCC. Beister 1990

Se (Selenium, Z=34):
  Mass = 78.971 amu
  Compton freq = 1.7787e+25 Hz (CONSTANT)
  Compton wvl  = 1.6855e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: monotonic
  Overall CN: 2 -> 12 (+10)
        0.0 GPa: hex      CN= 2 | Trigonal chains. P3_121
       14.0 GPa: mono     CN= 4 | Se-II. Akahama 1993
       23.0 GPa: rhombo   CN= 6 | Se-III beta-Po type. Akahama 1993
       28.0 GPa: BCC      CN= 8 | Akahama 1993
      140.0 GPa: FCC      CN=12 | Close-packed at very high P. Akahama 1993

Br (Bromine, Z=35):
  Mass = 79.904 amu
  Compton freq = 1.7997e+25 Hz (CONSTANT)
  Compton wvl  = 1.6658e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: monotonic
  Overall CN: 2 -> 12 (+10)
        0.0 GPa: ortho    CN= 2 | Cmca, diatomic molecular solid
       81.0 GPa: ortho    CN= 6 | Monatomic. Fujihisa 2006
      100.0 GPa: FCC      CN=12 | Close-packed metal. Fujihisa 2006

Rb (Rubidium, Z=37):
  Mass = 85.468 amu
  Compton freq = 1.9250e+25 Hz (CONSTANT)
  Compton wvl  = 1.5573e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 8 -> 6 (-2)
        0.0 GPa: BCC      CN= 8 | Im-3m, alkali metal
        7.0 GPa: FCC      CN=12 | Fm-3m. Schwarz 1999
       13.0 GPa: ortho    CN= 8 | Rb-III. McMahon 2006. Complex
       17.0 GPa: cI16     CN= 8 | Host-guest. McMahon 2006
       48.0 GPa: oC52     CN= 6 | Incommensurate. McMahon 2006

Sr (Strontium, Z=38):
  Mass = 87.620 amu
  Compton freq = 1.9735e+25 Hz (CONSTANT)
  Compton wvl  = 1.5191e-17 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 12 -> 10 (-2)
        0.0 GPa: FCC      CN=12 | Fm-3m, alkaline earth
        3.5 GPa: BCC      CN= 8 | Im-3m. Olyjnik 1985. s-d transfer onset
       26.0 GPa: mono     CN= 6 | Sr-III beta-tin type. Bovornratanaraks 2006
       35.0 GPa: cI16     CN= 8 | Host-guest. Bovornratanaraks 2006
       49.0 GPa: mono     CN=10 | Sr-V. Bovornratanaraks 2006

Y (Yttrium, Z=39):
  Mass = 88.906 amu
  Compton freq = 2.0025e+25 Hz (CONSTANT)
  Compton wvl  = 1.4971e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: HCP      CN=12 | P6_3/mmc
       25.0 GPa: dhcp     CN=12 | Sm-type. Chesnut 1998
       33.0 GPa: FCC      CN=12 | Fm-3m. Chesnut 1998
       99.0 GPa: dhcp     CN=12 | dfcc structure. Chesnut 1998

Zr (Zirconium, Z=40):
  Mass = 91.224 amu
  Compton freq = 2.0547e+25 Hz (CONSTANT)
  Compton wvl  = 1.4591e-17 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   NO
  Classification: non_monotonic
  Overall CN: 12 -> 8 (-4)
        0.0 GPa: HCP      CN=12 | alpha-Zr. P6_3/mmc
        2.0 GPa: hex      CN= 8 | omega-Zr. P6/mmm. Electronic transfer
       30.0 GPa: BCC      CN= 8 | beta-Zr. Akahama 2005

Nb (Niobium, Z=41):
  Mass = 92.906 amu
  Compton freq = 2.0926e+25 Hz (CONSTANT)
  Compton wvl  = 1.4327e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 8 -> 8 (+0)
        0.0 GPa: BCC      CN= 8 | Im-3m, refractory. Stable BCC to >145 GPa

Mo (Molybdenum, Z=42):
  Mass = 95.950 amu
  Compton freq = 2.1611e+25 Hz (CONSTANT)
  Compton wvl  = 1.3872e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 8 -> 8 (+0)
        0.0 GPa: BCC      CN= 8 | Im-3m, refractory. Stable BCC to >400 GPa

Pd (Palladium, Z=46):
  Mass = 106.420 amu
  Compton freq = 2.3969e+25 Hz (CONSTANT)
  Compton wvl  = 1.2507e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: FCC      CN=12 | Fm-3m. Stable FCC to high pressures

Ag (Silver, Z=47):
  Mass = 107.868 amu
  Compton freq = 2.4296e+25 Hz (CONSTANT)
  Compton wvl  = 1.2339e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: FCC      CN=12 | Fm-3m. Stable FCC to >150 GPa

In (Indium, Z=49):
  Mass = 114.818 amu
  Compton freq = 2.5861e+25 Hz (CONSTANT)
  Compton wvl  = 1.1592e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: monotonic
  Overall CN: 8 -> 12 (+4)
        0.0 GPa: BCT      CN= 8 | I4/mmm, slightly distorted FCC
       45.0 GPa: FCC      CN=12 | Fm-3m. Takemura 1991

Sn (Tin, Z=50):
  Mass = 118.710 amu
  Compton freq = 2.6738e+25 Hz (CONSTANT)
  Compton wvl  = 1.1212e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 4 -> 12 (+8)
        0.0 GPa: diamond  CN= 4 | alpha-Sn (grey tin), below 13C. Fd-3m
        0.0 GPa: BCT      CN= 6 | beta-Sn (white tin), above 13C. I4_1/amd. Metallic
        9.5 GPa: BCT      CN= 8 | gamma-Sn. Desgreniers 1989
       40.0 GPa: BCC      CN= 8 | BCC phase. Salamat 2013
      157.0 GPa: HCP      CN=12 | Close-packed. Salamat 2013

Sb (Antimony, Z=51):
  Mass = 121.760 amu
  Compton freq = 2.7425e+25 Hz (CONSTANT)
  Compton wvl  = 1.0932e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 3 -> 8 (+5)
        0.0 GPa: rhombo   CN= 3 | A7 structure, R-3m. Semimetal
        8.6 GPa: mono     CN= 6 | Sb-II. Schwarz 2003
        8.8 GPa: ortho    CN= 8 | Sb-III host-guest. Schwarz 2003
       28.0 GPa: BCC      CN= 8 | Schwarz 2003

Te (Tellurium, Z=52):
  Mass = 127.600 amu
  Compton freq = 2.8740e+25 Hz (CONSTANT)
  Compton wvl  = 1.0431e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 2 -> 8 (+6)
        0.0 GPa: hex      CN= 2 | Trigonal chains. P3_121
        4.0 GPa: mono     CN= 4 | Te-II. Hejny 2003
        7.0 GPa: rhombo   CN= 6 | Te-III beta-Po type. Hejny 2003
       11.0 GPa: BCC      CN= 8 | Te-IV. Hejny 2003
       27.0 GPa: BCC      CN= 8 | Te-V. Remains BCC. Hejny 2003

I (Iodine, Z=53):
  Mass = 126.904 amu
  Compton freq = 2.8583e+25 Hz (CONSTANT)
  Compton wvl  = 1.0488e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: monotonic
  Overall CN: 2 -> 12 (+10)
        0.0 GPa: ortho    CN= 2 | Cmca, diatomic molecular solid
       21.0 GPa: ortho    CN= 4 | Immm monatomic. Takemura 2003
       43.0 GPa: ortho    CN= 6 | Cmcm. Takemura 2003
       55.0 GPa: FCC      CN=12 | Close-packed metal. Takemura 2003

Xe (Xenon, Z=54):
  Mass = 131.293 amu
  Compton freq = 2.9572e+25 Hz (CONSTANT)
  Compton wvl  = 1.0138e-17 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: FCC      CN=12 | Fm-3m, noble gas solid at low T
       75.0 GPa: HCP      CN=12 | Close-packed. Jephcoat 1998
      137.0 GPa: FCC      CN=12 | Metallic. Goettel 1989. Becomes conducting ~130 GPa

Cs (Cesium, Z=55):
  Mass = 132.905 amu
  Compton freq = 2.9935e+25 Hz (CONSTANT)
  Compton wvl  = 1.0015e-17 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 8 -> 8 (+0)
        0.0 GPa: BCC      CN= 8 | Im-3m, alkali metal
        2.3 GPa: FCC      CN=12 | Fm-3m. Takemura 1982
        4.2 GPa: FCC      CN=12 | Collapsed FCC (isostructural, volume collapse). 5d-band
        4.3 GPa: ortho    CN= 8 | Cs-IV. McMahon 2001. s-d transfer onset
       12.0 GPa: ortho    CN= 8 | Cs-V. Complex orthorhombic. McMahon 2001

Ba (Barium, Z=56):
  Mass = 137.327 amu
  Compton freq = 3.0931e+25 Hz (CONSTANT)
  Compton wvl  = 9.6924e-18 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 8 -> 12 (+4)
        0.0 GPa: BCC      CN= 8 | Im-3m, alkaline earth
        5.5 GPa: HCP      CN=12 | Close-packed. Kenichi 1994
       12.6 GPa: cI16     CN= 8 | Host-guest. Loa 2012. s-d transfer
       45.0 GPa: dhcp     CN=12 | Double HCP. Loa 2012

La (Lanthanum, Z=57):
  Mass = 138.905 amu
  Compton freq = 3.1286e+25 Hz (CONSTANT)
  Compton wvl  = 9.5823e-18 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: non_monotonic
  Overall CN: 12 -> 10 (-2)
        0.0 GPa: dhcp     CN=12 | Double HCP
        2.5 GPa: FCC      CN=12 | Fm-3m. Chesnut 1998
       60.0 GPa: ortho    CN=10 | La-III distorted FCC. Chesnut 1998

Ce (Cerium, Z=58):
  Mass = 140.116 amu
  Compton freq = 3.1559e+25 Hz (CONSTANT)
  Compton wvl  = 9.4995e-18 m  (CONSTANT)
  E-transfer (keyword): YES
  E-transfer (group):   YES
  Classification: non_monotonic
  Overall CN: 12 -> 10 (-2)
        0.0 GPa: FCC      CN=12 | gamma-Ce, Fm-3m
        0.7 GPa: FCC      CN=12 | alpha-Ce, isostructural collapse (4f delocalization)
        5.1 GPa: ortho    CN=10 | Ce-III alpha-U type. McMahon 1997. 4f delocalization
       12.0 GPa: BCT      CN=10 | Ce-IV. McMahon 1997

W (Tungsten, Z=74):
  Mass = 183.840 amu
  Compton freq = 4.1407e+25 Hz (CONSTANT)
  Compton wvl  = 7.2401e-18 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 8 -> 8 (+0)
        0.0 GPa: BCC      CN= 8 | Im-3m, refractory. Most pressure-stable BCC metal (>400 GPa)

Pt (Platinum, Z=78):
  Mass = 195.084 amu
  Compton freq = 4.3940e+25 Hz (CONSTANT)
  Compton wvl  = 6.8228e-18 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: FCC      CN=12 | Fm-3m. Extremely stable FCC

Au (Gold, Z=79):
  Mass = 196.967 amu
  Compton freq = 4.4364e+25 Hz (CONSTANT)
  Compton wvl  = 6.7576e-18 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: single_phase
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: FCC      CN=12 | Fm-3m. Stable FCC to >240 GPa

Pb (Lead, Z=82):
  Mass = 207.200 amu
  Compton freq = 4.6669e+25 Hz (CONSTANT)
  Compton wvl  = 6.4239e-18 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 12 -> 12 (+0)
        0.0 GPa: FCC      CN=12 | Fm-3m
       13.0 GPa: HCP      CN=12 | Close-packed. Mao 1990

Bi (Bismuth, Z=83):
  Mass = 208.980 amu
  Compton freq = 4.7069e+25 Hz (CONSTANT)
  Compton wvl  = 6.3692e-18 m  (CONSTANT)
  E-transfer (keyword): NO
  E-transfer (group):   NO
  Classification: weakly_monotonic
  Overall CN: 3 -> 8 (+5)
        0.0 GPa: rhombo   CN= 3 | A7 structure, R-3m. Semimetal
        2.5 GPa: mono     CN= 6 | Bi-II. Brugger 1967
        2.7 GPa: ortho    CN= 8 | Bi-III host-guest. McMahon 2000
        7.7 GPa: BCC      CN= 8 | Bi-V. Degtyareva 2004


================================================================================
KEY STATISTICS (AUDIT-CORRECTED)
================================================================================

Non-decreasing CN (all multi-phase): 22/38 (57.9%)

NULL MODELS:
  Random permutation p-value: 0.000000 (straw man — see audit note)
  Per-step probability: 0.786
  Expected monotonic (analytical): 20.8
  Per-step null p-value: 0.402630

ELECTRONIC TRANSFER — KEYWORD-BASED (original, circularity risk):
  Without e-transfer: 22/26 non-decreasing
  With e-transfer: 0/12 non-decreasing

ELECTRONIC TRANSFER — GROUP-BASED (audit-corrected, independent):
  Without e-transfer: 22/28 non-decreasing
  With e-transfer: 0/10 non-decreasing
  Fisher exact p-value (group-based): 0.000017