Elementarwellen                                                                    Erklärung zur Grund-Gleichung (deutsch)        Forum (deutsche Kurz-Hilfe)        Umrechner        LM   PSE-Tabelle einblenden Please Select Elements   all   nothing Z=1 Wasserstoff H Z=2 Helium He Z=3 Lithium Li Z=4 Beryllium Be Z=5 Bor B Z=6 Kohlenstoff C Z=7 Stickstoff N Z=8 Sauerstoff O Z=9 Fluor F Z=10 Neon Ne Z=11 Natrium Na Z=12 Magnesium Mg Z=13 Aluminium Al Z=14 Silizium Si Z=15 Phosphor P Z=16 Schwefel S Z=17 Chlor Cl Z=18 Argon Ar Z=19 Kalium K Z=20 Calcium Ca Z=21 Scandium Sc Z=22 Titan Ti Z=23 Vanadium V Z=24 Chrom Cr Z=25 Mangan Mn Z=26 Eisen Fe Z=27 Kobalt Co Z=28 Nickel Ni Z=29 Kupfer Cu Z=30 Zink Zn Z=31 Gallium Ga Z=32 Germanium Ge Z=33 Arsen As Z=34 Selen Se Z=35 Brom Br Z=36 Krypton Kr Z=37 Rubidium Rb Z=38 Strontium Sr Z=39 Yttrium Y Z=40 Zirkon Zr Z=41 Niob Nb Z=42 Molybdän Mo Z=43 Technetium Tc Z=44 Ruthenium Ru Z=45 Rohdium Rh Z=46 Palladium Pd Z=47 Silber Ag Z=48 Cadmium Cd Z=49 Indium In Z=50 Zinn Sn Z=51 Antimon Sb Z=52 Tellur Te Z=53 Jod J Z=54 Xenon Xe Z=55 Cäsium Cs Z=56 Barium Ba Z=57 Lanthan La Z=58 Cer Ce Z=59 Praseodym Pr Z=60 Neodym Nd Z=61 Promethium Pm Z=62 Samarium Sm Z=63 Europium Eu Z=64 Gadolinium Gd Z=65 Terbium Tb Z=66 Dysprosium Dy Z=67 Holmium Ho Z=68 Erbium Er Z=69 Thulium Tm Z=70 Ytterbium Yb Z=71 Lutetium Lu Z=72 Hafnium Hf Z=73 Tantal Ta Z=74 Wolfram W Z=75 Rhenium Re Z=76 Osmium Os Z=77 Iridium Ir Z=78 Platin Pt Z=79 Gold Au Z=80 Quecksilber Hg Z=81 Thallium Tl Z=82 Blei Pb Z=83 Wismut Bi Z=84 Polonium Po Z=85 Astatin At Z=86 Radon Rn Z=87 Francium Fr Z=88 Radium Ra Z=89 Actinium Ac Z=90 Thorium Th Z=91 Protactinium Pa Z=92 Uran U Z=93 Neptunium Np Z=94 Plutonium Pu Z=95 Americium Am Z=96 Curium Cm Z=97 Berkelium Bk Z=98 Californium Cf Z=99 Einsteinium Es Z=100 Fermium Fm Z=101 Mendelevium Md Z=102 Nobelium No Z=103 Lawrencium Lr Z=104 Rutherfordium Rf Z=105 Dubnium Db Z=106 Seaborgium Sg Z=107 Bohrium Bh Z=108 Hassium Hs Z=109 Meitnerium Mt Z=110 Darmstadtium Ds Z=111 Roentgenium Rg Z=112 Copernicium Cn Z=113 Ununtrium Uut Z=114 Flerovium Fl Z=115 Ununpentium Uup Z=116 Livermorium Lv Z=117 Ununseptium Uus Z=118 Ununoctium Uuo name off Actual Settings START***1x*x2024-06-16_06:24:04***2x*x33***3x*x33***4x*x0_6_0_0_0***5x*x150***6x*xF_2_0_0***7x*x299792458***8x*x1.32140985623E-15***9x*x2***10x*x0.6180339887498948482***11x*x1_2_3_4_5_6_7_8_9_10_11_12_13_14_15_16_17_18_19_20_21_22_23_24_25_26_27_28_29_30_31_32_33_34_35_36_37_38_39_40_41_42_43_44_45_46_47_48_49_50_51_52_53_54_55_56_57_58_59_60_61_62_63_64_65_66_67_68_69_70_71_72_73_74_75_76_77_78_79_80_81_82_83_84_85_86_87_88_89_90_91_92_93_94_95_96_97_98_99_100_101_102_103_104_105_106_107_108_109_110_111_112_113_114_115_116_117_118***12x*x3***13x*x5_3_100_0_0***14x*x0_0_0_1_1_1_2_2***END      (SAVE settings with Ctrg-C as txt (Notepad)   or   SAVE as browser-Link ) Search for potenz N and factor2 in selected elements Z, for given result with the multiplikation L*factor2                      L = Z * Cx * Basis^N * Factor                    N = log(L/(Factor*Z*Cx)) / log(Basis) and f=c/L and T=L/c with c= m/s and Comptonwavelength Cx [m]:   Ce= 2.4263102389E-12 Cp= 1.32140985623E-15  Cn= 1.3195909068E-15  Plk= 1.616199E-35  orb_Mercur= 57.91E9 Cx m    Basis   Factor   Basis B with e= 2.7182818284590  phi= 1.618034  or 2 ,   Factor with pi= 3.141592   2pi= 6.283185  g= 0.61803398874989  or 18 show  digits                  Select Units L Length   Lj   pc   AE   earthR   km   m   dm   cm   mm   µm   nm   A~   pm   fm f  Frequency   THz   GHz   MHz   kHz   Hz   mHz   µHz T Time   j   d   h   min   s   ms   µs   ns   ps V Volume =L^3   km^3   m^3   hL=100L   dL=10L   dm^3=L   10ml=cL   cm^3=mL   mm^3=µL m Mass =V*dens.   Mt   kt   t   kg   g   mg   µg   ng   pg   fg        (Reset with deleting the number)      Reset 3 Factor-Search (Example1)      (Example2) 1 Listing - Modus     2 Searching - Modus     3 Factor-Search     4 Basis(+Factor)-Search     5 Basis(+Factor)-Harmonics-Search Value for Searching: MHz      Length search factor2 (integer) with lattice constants: 118L or 118R By using this code as text you call the physical lattice constants and atomic radii from the database, for many Z. If you use the value Factor additional, you can find rational numbers between L and Lattice(Z): 0.333333*ResultF = 1/3*ResultF or Factor=0.5 with Basis>2 error L maximal   0.1% 0.5% 1% 2% 5% all            to top Results (search for N and factors (Factor, factor2, Z and Ce) with 150 MHz)      with Cp      Attention ! Factor 0.6180339887498948482 to L and to T, invers to f B F error L[%]   Z N [1m=1m] Factor2 [1MHz=1.0E6Hz] [1s=1s] 2 0.618 err=-0.379 Li Z=3 (49.54) N=53 L=22.06790 m /11.04159=150 MHz f=13.585 MHz T=7.3610577268175E-8 s 2 0.618 err=-0.379 C Z=6 (48.54) N=52 L=22.06790 m /11.04159=150 MHz f=13.585 MHz T=7.3610577268175E-8 s 2 0.618 err=-1.22 Na Z=11 (47.66) N=50 L=10.11445 m /5.06073=150 MHz f=29.640 MHz T=3.3738181247913E-8 s 2 0.618 err=-1.22 Na Z=11 (47.66) N=51 L=20.22890 m /10.12145=150 MHz f=14.820 MHz T=6.7476362495827E-8 s 2 0.618 err=-1.22 Na Z=11 (47.66) N=52 L=40.45781 m /20.24291=150 MHz f=7.410 MHz T=1.3495272499165E-7 s 2 0.618 err=-0.379 Mg Z=12 (47.54) N=51 L=22.06790 m /11.04159=150 MHz f=13.585 MHz T=7.3610577268175E-8 s 2 0.618 err=-1.92 Sc Z=21 (46.73) N=43 L=0.15085 m *13.24861=150 MHz f=1987.292 MHz T=5.0319730554416E-10 s 2 0.618 err=-1.7 Sc Z=21 (46.73) N=51 L=38.61882 m /19.32278=150 MHz f=7.763 MHz T=1.2881851021931E-7 s 2 0.618 err=-1.22 Ti Z=22 (46.66) N=49 L=10.11445 m /5.06073=150 MHz f=29.640 MHz T=3.3738181247913E-8 s 2 0.618 err=-1.22 Ti Z=22 (46.66) N=50 L=20.22890 m /10.12145=150 MHz f=14.820 MHz T=6.7476362495827E-8 s 2 0.618 err=-1.22 Ti Z=22 (46.66) N=51 L=40.45781 m /20.24291=150 MHz f=7.410 MHz T=1.3495272499165E-7 s 2 0.618 err=-0.805 V Z=23 (46.60) N=43 L=0.16522 m *12.09656=150 MHz f=1814.484 MHz T=5.5112085845313E-10 s 2 0.618 err=-0.805 V Z=23 (46.60) N=44 L=0.33044 m *6.04828=150 MHz f=907.242 MHz T=1.1022417169063E-9 s 2 0.618 err=-0.805 V Z=23 (46.60) N=45 L=0.66089 m *3.02414=150 MHz f=453.621 MHz T=2.2044834338125E-9 s 2 0.618 err=-0.379 Cr Z=24 (46.54) N=50 L=22.06790 m /11.04159=150 MHz f=13.585 MHz T=7.3610577268175E-8 s 2 0.618 err=-1.18 Mn Z=25 (46.48) N=43 L=0.17959 m *11.12884=150 MHz f=1669.325 MHz T=5.990444113621E-10 s 2 0.618 err=-0.988 Cu Z=29 (46.26) N=42 L=0.10416 m *19.18765=150 MHz f=2878.147 MHz T=3.4744575859002E-10 s 2 0.618 err=-1.88 Ga Z=31 (46.17) N=49 L=14.25218 m /7.13102=150 MHz f=21.035 MHz T=4.7540164485696E-8 s 2 0.618 err=-1.88 Ga Z=31 (46.17) N=50 L=28.50437 m /14.26205=150 MHz f=10.517 MHz T=9.5080328971392E-8 s 2 0.618 err=-1.22 As Z=33 (46.08) N=50 L=30.34336 m /15.18218=150 MHz f=9.880 MHz T=1.0121454374374E-7 s 2 0.618 err=-0.64 Br Z=35 (45.99) N=46 L=2.01140 m /1.00639=150 MHz f=149.047 MHz T=6.7092974072555E-9 s 2 0.618 err=-0.26 Rb Z=37 (45.91) N=42 L=0.13290 m *15.03897=150 MHz f=2255.845 MHz T=4.4329286440795E-10 s 2 0.618 err=-0.133 Rb Z=37 (45.91) N=50 L=34.02134 m /17.02245=150 MHz f=8.812 MHz T=1.1348297328844E-7 s 2 0.618 err=-1.92 Y Z=39 (45.83) N=42 L=0.14008 m *14.26774=150 MHz f=2140.161 MHz T=4.6725464086244E-10 s 2 0.618 err=-1.92 Y Z=39 (45.83) N=43 L=0.28016 m *7.13387=150 MHz f=1070.080 MHz T=9.3450928172488E-10 s 2 0.618 err=-1.92 Mo Z=42 (45.73) N=42 L=0.15085 m *13.24861=150 MHz f=1987.292 MHz T=5.0319730554416E-10 s 2 0.618 err=-1.7 Mo Z=42 (45.73) N=50 L=38.61882 m /19.32278=150 MHz f=7.763 MHz T=1.2881851021931E-7 s 2 0.618 err=-1.22 Ru Z=44 (45.66) N=48 L=10.11445 m /5.06073=150 MHz f=29.640 MHz T=3.3738181247913E-8 s 2 0.618 err=-1.22 Ru Z=44 (45.66) N=49 L=20.22890 m /10.12145=150 MHz f=14.820 MHz T=6.7476362495827E-8 s 2 0.618 err=-1.22 Ru Z=44 (45.66) N=50 L=40.45781 m /20.24291=150 MHz f=7.410 MHz T=1.3495272499165E-7 s 2 0.618 err=-0.805 Pd Z=46 (45.60) N=42 L=0.16522 m *12.09656=150 MHz f=1814.484 MHz T=5.5112085845313E-10 s 2 0.618 err=-0.805 Pd Z=46 (45.60) N=43 L=0.33044 m *6.04828=150 MHz f=907.242 MHz T=1.1022417169063E-9 s 2 0.618 err=-0.805 Pd Z=46 (45.60) N=44 L=0.66089 m *3.02414=150 MHz f=453.621 MHz T=2.2044834338125E-9 s 2 0.618 err=-0.379 Cd Z=48 (45.54) N=49 L=22.06790 m /11.04159=150 MHz f=13.585 MHz T=7.3610577268175E-8 s 2 0.618 err=-1.18 Sn Z=50 (45.48) N=42 L=0.17959 m *11.12884=150 MHz f=1669.325 MHz T=5.990444113621E-10 s 2 0.618 err=-1.6 J Z=53 (45.39) N=47 L=6.09166 m /3.04794=150 MHz f=49.214 MHz T=2.0319586433402E-8 s 2 0.618 err=-1.6 J Z=53 (45.39) N=48 L=12.18332 m /6.09588=150 MHz f=24.607 MHz T=4.0639172866805E-8 s 2 0.618 err=-1.6 J Z=53 (45.39) N=49 L=24.36664 m /12.19175=150 MHz f=12.303 MHz T=8.127834573361E-8 s 2 0.618 err=-1.18 Cs Z=55 (45.34) N=41 L=0.09877 m *20.23425=150 MHz f=3035.137 MHz T=3.2947442624915E-10 s 2 0.618 err=-1.18 Cs Z=55 (45.34) N=42 L=0.19755 m *10.11712=150 MHz f=1517.568 MHz T=6.5894885249831E-10 s 2 0.618 err=-1.18 Cs Z=55 (45.34) N=43 L=0.39510 m *5.05856=150 MHz f=758.784 MHz T=1.3178977049966E-9 s 2 0.618 err=-0.861 La Z=57 (45.29) N=49 L=26.20563 m /13.11188=150 MHz f=11.440 MHz T=8.7412560505958E-8 s 2 0.618 err=-0.988 Ce Z=58 (45.26) N=41 L=0.10416 m *19.18765=150 MHz f=2878.147 MHz T=3.4744575859002E-10 s 2 0.618 err=-1.36 Pm Z=61 (45.19) N=41 L=0.10955 m *18.24399=150 MHz f=2736.599 MHz T=3.6541709093088E-10 s 2 0.618 err=-1.36 Pm Z=61 (45.19) N=42 L=0.21910 m *9.12200=150 MHz f=1368.299 MHz T=7.3083418186176E-10 s 2 0.618 err=-0.229 Pm Z=61 (45.19) N=48 L=14.02231 m /7.01601=150 MHz f=21.380 MHz T=4.6773387639153E-8 s 2 0.618 err=-0.229 Pm Z=61 (45.19) N=49 L=28.04462 m /14.03202=150 MHz f=10.690 MHz T=9.3546775278305E-8 s 2 0.618 err=-1.88 Sm Z=62 (45.17) N=48 L=14.25218 m /7.13102=150 MHz f=21.035 MHz T=4.7540164485696E-8 s 2 0.618 err=-1.88 Sm Z=62 (45.17) N=49 L=28.50437 m /14.26205=150 MHz f=10.517 MHz T=9.5080328971392E-8 s 2 0.618 err=-0.714 Tb Z=65 (45.10) N=41 L=0.11673 m *17.12129=150 MHz f=2568.193 MHz T=3.8937886738536E-10 s 2 0.618 err=-1.22 Dy Z=66 (45.08) N=49 L=30.34336 m /15.18218=150 MHz f=9.880 MHz T=1.0121454374374E-7 s 2 0.618 err=-0.805 Tm Z=69 (45.01) N=45 L=1.98266 m *1.00805=150 MHz f=151.207 MHz T=6.6134503014376E-9 s 2 0.618 err=-0.64 Yb Z=70 (44.99) N=45 L=2.01140 m /1.00639=150 MHz f=149.047 MHz T=6.7092974072555E-9 s 2 0.618 err=-1.64 Ta Z=73 (44.93) N=41 L=0.13110 m *15.24498=150 MHz f=2286.747 MHz T=4.3730242029433E-10 s 2 0.618 err=-0.26 W Z=74 (44.91) N=41 L=0.13290 m *15.03897=150 MHz f=2255.845 MHz T=4.4329286440795E-10 s 2 0.618 err=-0.133 W Z=74 (44.91) N=49 L=34.02134 m /17.02245=150 MHz f=8.812 MHz T=1.1348297328844E-7 s 2 0.618 err=-1.49 Re Z=75 (44.89) N=49 L=34.48109 m /17.25248=150 MHz f=8.694 MHz T=1.1501652698152E-7 s 2 0.618 err=-1.92 Pt Z=78 (44.83) N=41 L=0.14008 m *14.26774=150 MHz f=2140.161 MHz T=4.6725464086244E-10 s 2 0.618 err=-1.92 Pt Z=78 (44.83) N=42 L=0.28016 m *7.13387=150 MHz f=1070.080 MHz T=9.3450928172488E-10 s 2 0.618 err=-0.623 Au Z=79 (44.82) N=41 L=0.14188 m *14.08713=150 MHz f=2113.070 MHz T=4.7324508497606E-10 s 2 0.618 err=-0.623 Au Z=79 (44.82) N=42 L=0.28375 m *7.04357=150 MHz f=1056.535 MHz T=9.4649016995212E-10 s 2 0.618 err=-0.959 Au Z=79 (44.82) N=48 L=18.16004 m /9.08631=150 MHz f=16.508 MHz T=6.0575370876936E-8 s 2 0.618 err=-0.959 Au Z=79 (44.82) N=49 L=36.32008 m /18.17261=150 MHz f=8.254 MHz T=1.2115074175387E-7 s 2 0.618 err=-0.489 Bi Z=83 (44.75) N=49 L=38.15907 m /19.09274=150 MHz f=7.856 MHz T=1.2728495652622E-7 s 2 0.618 err=-1.92 Po Z=84 (44.73) N=41 L=0.15085 m *13.24861=150 MHz f=1987.292 MHz T=5.0319730554416E-10 s 2 0.618 err=-1.7 Po Z=84 (44.73) N=49 L=38.61882 m /19.32278=150 MHz f=7.763 MHz T=1.2881851021931E-7 s 2 0.618 err=-0.714 At Z=85 (44.71) N=41 L=0.15265 m *13.09275=150 MHz f=1963.912 MHz T=5.0918774965778E-10 s 2 0.618 err=-0.0644 Fr Z=87 (44.68) N=47 L=9.99952 m /5.00322=150 MHz f=29.981 MHz T=3.3354792824642E-8 s 2 0.618 err=-0.0644 Fr Z=87 (44.68) N=48 L=19.99903 m /10.00644=150 MHz f=14.990 MHz T=6.6709585649283E-8 s 2 0.618 err=-0.0644 Fr Z=87 (44.68) N=49 L=39.99806 m /20.01288=150 MHz f=7.495 MHz T=1.3341917129857E-7 s 2 0.618 err=-1.22 Ra Z=88 (44.66) N=47 L=10.11445 m /5.06073=150 MHz f=29.640 MHz T=3.3738181247913E-8 s 2 0.618 err=-1.22 Ra Z=88 (44.66) N=48 L=20.22890 m /10.12145=150 MHz f=14.820 MHz T=6.7476362495827E-8 s 2 0.618 err=-1.22 Ra Z=88 (44.66) N=49 L=40.45781 m /20.24291=150 MHz f=7.410 MHz T=1.3495272499165E-7 s 2 0.618 err=-1.92 Pa Z=91 (44.61) N=41 L=0.16343 m *12.22949=150 MHz f=1834.423 MHz T=5.4513041433951E-10 s 2 0.618 err=-1.92 Pa Z=91 (44.61) N=42 L=0.32685 m *6.11474=150 MHz f=917.212 MHz T=1.090260828679E-9 s 2 0.618 err=-1.92 Pa Z=91 (44.61) N=43 L=0.65370 m *3.05737=150 MHz f=458.606 MHz T=2.180521657358E-9 s 2 0.618 err=-0.805 U Z=92 (44.60) N=41 L=0.16522 m *12.09656=150 MHz f=1814.484 MHz T=5.5112085845313E-10 s 2 0.618 err=-0.805 U Z=92 (44.60) N=42 L=0.33044 m *6.04828=150 MHz f=907.242 MHz T=1.1022417169063E-9 s 2 0.618 err=-0.805 U Z=92 (44.60) N=43 L=0.66089 m *3.02414=150 MHz f=453.621 MHz T=2.2044834338125E-9 s 2 0.618 err=-0.379 Cm Z=96 (44.54) N=48 L=22.06790 m /11.04159=150 MHz f=13.585 MHz T=7.3610577268175E-8 s 2 0.618 err=-1.43 Bk Z=97 (44.52) N=48 L=22.29777 m /11.15660=150 MHz f=13.445 MHz T=7.4377354114718E-8 s 2 0.618 err=-1.18 Fm Z=100 (44.48) N=41 L=0.17959 m *11.12884=150 MHz f=1669.325 MHz T=5.990444113621E-10 s 2 0.618 err=-0.17 Md Z=101 (44.46) N=41 L=0.18138 m *11.01865=150 MHz f=1652.797 MHz T=6.0503485547572E-10 s 2 0.618 err=-0.64 Db Z=105 (44.41) N=46 L=6.03419 m /3.01918=150 MHz f=49.682 MHz T=2.0127892221767E-8 s 2 0.618 err=-0.64 Db Z=105 (44.41) N=47 L=12.06838 m /6.03837=150 MHz f=24.841 MHz T=4.0255784443533E-8 s 2 0.618 err=-0.64 Db Z=105 (44.41) N=48 L=24.13676 m /12.07674=150 MHz f=12.421 MHz T=8.0511568887066E-8 s 2 0.618 err=-1.6 Sg Z=106 (44.39) N=46 L=6.09166 m /3.04794=150 MHz f=49.214 MHz T=2.0319586433402E-8 s 2 0.618 err=-1.6 Sg Z=106 (44.39) N=47 L=12.18332 m /6.09588=150 MHz f=24.607 MHz T=4.0639172866805E-8 s 2 0.618 err=-1.6 Sg Z=106 (44.39) N=48 L=24.36664 m /12.19175=150 MHz f=12.303 MHz T=8.127834573361E-8 s 2 0.618 err=-1.18 Ds Z=110 (44.34) N=40 L=0.09877 m *20.23425=150 MHz f=3035.137 MHz T=3.2947442624915E-10 s 2 0.618 err=-1.18 Ds Z=110 (44.34) N=41 L=0.19755 m *10.11712=150 MHz f=1517.568 MHz T=6.5894885249831E-10 s 2 0.618 err=-1.18 Ds Z=110 (44.34) N=42 L=0.39510 m *5.05856=150 MHz f=758.784 MHz T=1.3178977049966E-9 s 2 0.618 err=-0.26 Rg Z=111 (44.33) N=40 L=0.09967 m *20.05196=150 MHz f=3007.793 MHz T=3.3246964830597E-10 s 2 0.618 err=-0.26 Rg Z=111 (44.33) N=41 L=0.19934 m *10.02598=150 MHz f=1503.897 MHz T=6.6493929661193E-10 s 2 0.618 err=-0.26 Rg Z=111 (44.33) N=42 L=0.39869 m *5.01299=150 MHz f=751.948 MHz T=1.3298785932239E-9 s 2 0.618 err=-0.861 Fl Z=114 (44.29) N=48 L=26.20563 m /13.11188=150 MHz f=11.440 MHz T=8.7412560505958E-8 s 2 0.618 err=-1.87 Uup Z=115 (44.27) N=40 L=0.10326 m *19.35450=150 MHz f=2903.174 MHz T=3.4445053653321E-10 s 2 0.618 err=-1.75 Uup Z=115 (44.27) N=48 L=26.43550 m /13.22690=150 MHz f=11.341 MHz T=8.8179337352501E-8 s 2 0.618 err=-0.988 Lv Z=116 (44.26) N=40 L=0.10416 m *19.18765=150 MHz f=2878.147 MHz T=3.4744575859002E-10 s 2 0.618 err=-0.125 Uus Z=117 (44.25) N=40 L=0.10506 m *19.02365=150 MHz f=2853.548 MHz T=3.5044098064683E-10 s 46 Treffer,mit factor2: 3(1),0(2*),0(2/),4(3*),3(3/),3(5*),5(5/),3(7*),3(7/),bei Basis=2, Cx=1.32140985623E-15, Factor=0.6180339887498948482, c=299792458, genau=2%, mod=3, Suchwort=150 MHz                           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