The Fascinating Story of the Witch from Mercury Opening

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The Witch from Mercury Opening: In the vast universe, planets remain mysterious and full of wonders. Among them, Mercury, the closest planet to the Sun, has always captivated the imagination of space enthusiasts. With its extreme temperatures and barren landscapes, Mercury has an enigmatic allure that both fascinates and terrifies. Amidst the cosmic beauty of Mercury, there exists a tale passed down through generations – the legend of the Witch from Mercury opening. This captivating story tells of a powerful witch who hails from this mysterious planet. She possesses extraordinary powers and wisdom, gathered over centuries of existence.


chizz contains the molar static magnetic susceptibility. This is not the full 3x3 susceptibility tensor χm, but its component along the applied magnetic field direction zL χm,zz. The values are in SI units (m 3 mol -1 ). To convert chizz from SI units to CGS units (cm 3 mol -1 ), use

Populations are computed for all energy levels assuming thermal Boltzmann equilibrium and are included in the calculation of the magnetic moment and the magnetic susceptibility. Populations are computed for all energy levels assuming thermal Boltzmann equilibrium and are included in the calculation of the magnetic moment and the magnetic susceptibility.

Curry more magnic

She possesses extraordinary powers and wisdom, gathered over centuries of existence. The origins of this witch are shrouded in mystery. Some believe that she was born on Mercury itself, hailing from a long-lost civilization that once thrived on its surface.

Curry more magnic

Calculates magnetometry data: magnetic moment, static magnetic susceptibility.

Syntax
curry(Sys,Exp); curry(Sys,Exp,Opt); muz = curry(. ); [muz,chizz] = curry(. ); [. ] = curry(. );

See also the user guide on how to use curry .

Description

curry calculates the magnetic moment and the molar static magnetic susceptibility for given fields and temperatures.

Outputs

There are up to two standard output arguments (here standard refer to empty Opt.Output ). If no output argument is requested, curry plots the calculated curves.

muz contains the values of the longitudinal magnetic moment, i.e. along the direction of the applied magnetic field (zL), for the fields and temperatures requested.

The units are either Bohr magnetons μB if the value is understood as single-molecule magnetic moment μz, or NAμB if the value is understood as molar magnetic moment μm,z. NA is the Avogadro constant. For example, muz = 0.53 means the single-molecule magnetic moment μz is 0.53 μB and the molar magnetic moment μm,z is 0.53 NAμB. To convert the molar magnetic moment to SI units (J T -1 mol -1 ), use

muz_SI = muz*avogadro*bmagn; % unit conversion from NA*muB to J T^-1 mol^-1
chizz

chizz contains the molar static magnetic susceptibility. This is not the full 3x3 susceptibility tensor χm, but its component along the applied magnetic field direction zL χm,zz. The values are in SI units (m 3 mol -1 ). To convert chizz from SI units to CGS units (cm 3 mol -1 ), use

chizz_cgs = chizz_SI/(4*pi*1e-6); % unit conversion from SI to CGS units

If Opt.Output is given the number of outputs depend on Opt.Output (see Output).

Input: Spin system

There are three inputs to the function, the last one is optional.

Sys is a spin system structure containing the spin quantum numbers and the spin Hamiltonian parameters. In addition to the parameters used by all EasySpin functions, TIP can be introduced.

Temerature-independent paramagnetism added to the magnetic susceptibility. EasySpin understand TIP to be in SI units.

TIP_cgs = 7e-4; % TIP in cm^3 mol^-1 TIP_SI = (4*pi*1e-6) * TIP_cgs; % TIP in SI units Sys.TIP = TIP_SI;
Input: Experimental parameters

Exp contains experimental parameters such as the magnetic field range and temperature. Compared to EasySpin's EPR simulation functions, curry needs only very few parameters.

Temperature

This gives the temperature, or list of temperatures, for which magnetization data should be calculated, in kelvin. For example, Exp.Temperature = 298 corresponds to room temperature, and Exp.Temperature = 4:300 specifies a temperature range. If an array of values is given, data are calculated for each temperature in the array.

Populations are computed for all energy levels assuming thermal (Boltzmann) equilibrium and are included in the calculation of the magnetic moment and the magnetic susceptibility.

Temperature has to be provided.

Field

Field gives the magnetic field strength, in mT, for which magnetization data should be calculated. If an array of values is given, data are calculated for each field value in the array.

If Field is missing, EasySpin assumes that no field is applied.

Magnetic moment is often measured as a function of field and for a few temperatures, while molar static magnetic susceptibility is measured as function of temperature for a few fields. This can be done also in simulations:

chiTemperature

Temperature or list of Temperatures, for which magnetic susceptibility should be calculated, in Kelvin.

chiField

Magnetic field strength, in mT, for which magnetic susceptibility should be calculated. If an array of values is given, data are calculated for each field value in the array.

mTemperature Temperature or list of Temperatures, for which magnetic moment should be calculated, in Kelvin. mField

Magnetic field strength, in mT, for which magnetic moment should be calculated. If an array of values is given, data are calculated for each field value in the array.

curry calculates magnetic susceptibility as numeric derivative of the magnetic moment at the given field value. However, the experimental data is often obtained by measuring the magnetization at a given field value and divide it by the field strength. For sufficiently small field strength this correspond to the derivative at zero field. In cases the field strength is not small experimental results might be better reproduced by:

m4chi = curry(Sys,Exp,Opt); % magnetic moment at the field used in the experiment % divide magnetic moment by magnetic field and unit conversion chisim_cgs = m4chi*avogadro*bmagn*1e2./repmat(Exp.Field(:),1,numel(Exp.Temperature)); chisim_si = (4*pi*1e-6) *chisim_cgs ; % convert to SI units

curry not only supports powder samples, but also single crystals. The following fields are needed for single-crystal calculations:

CrystalOrientation

An Nx3 or Nx2 array that specifies single-crystal orientations for which the magnetic moment and the susceptibility should be computed. Each row of CrystalOrientation contains the three Euler rotation angles that transform the crystal frame (C) to the lab frame (L). If only two Euler angles are given, the third is set to zero. If CrystalOrientation is empty or not specified, the full powder is computed.

Exp.CrystalOrientation = [0 0 0]; % single crystal, crystal z axis aligned with B0 Exp.CrystalOrientation = [0 pi/2 0]; % single crystal, crystal z axis perpendicular to B0 Exp.CrystalOrientation = [0 0 0; 0 pi/2 0]; % two crystals Exp.CrystalOrientation = []; % powder
CrystalSymmetry

Specifies the symmetry of the crystal. You can give either the number of the space group (between 1 and 230), the symbol of the space group (such as 'P212121' or 'Ia-3d' ), or the symbol for the point subgroup of the space group (in either Schönflies or Hermann-Mauguin notation, such as 'D2h' or 'mmm' ).

Exp.CrystalSymmetry = 11; % space group number (between 1 and 230) Exp.CrystalSymmetry = 'P21/c'; % space group symbol Exp.CrystalSymmetry = 'C2h'; % point group, Schönflies notation Exp.CrystalSymmetry = '2/m'; % point group, Hermann-Mauguin notation

When CrystalSymmetry is given, all symmetry-related sites in the crystal are generated and included in the calculation. If CrystalSymmetry is not given, space group 1 (P1, point group C1, one site per unit cell) is assumed.

MolFrame

The three Euler angles, in radians, for the transformation of the crystal frame to the molecular frame. Use this field when specifying a crystal containing spin systems that are tilted with respect to the crystal frame. E.g. Param.MolFrame=[0,pi/4,0] tilts the x and z axis of the spin system's molecular frame (xM, zM), relative to the crystal frame (xC,yC,zC).

Input: Calculation options

The structure Opt collects computational parameters. Opt need not be specified, in which case default values for all fields are used. The field names and their possible values are as follows.

Output

String to specify the output curry should provide in the given order. Keywords should be seperated by blanks. The following keywords are allowed:

If Opt.Output is given the number of outputs depend on Opt.Output (see Output).
Witch from mercury opening

Others speculate that she arrived from a distant planet, seeking refuge on Mercury due to its extreme conditions. Regardless of her origin, the Witch from Mercury opening possesses incredible abilities. She commands the forces of nature, able to control lightning, summon storms, and manipulate celestial bodies. With a wave of her hand, she can bring forth rain or create a fierce sandstorm, leaving those who witness her power in awe. What sets the Witch from Mercury opening apart from other witches is her deep connection to the planet itself. Mercury's extreme temperatures have not hindered her, but instead, she has harnessed its energy to amplify her magic. She draws power from the scorching heat and utilizes the planet's volcanic activity to fuel her spells. But the Witch from Mercury opening isn't solely associated with power and destruction. Despite her fearsome reputation, she is described as wise and compassionate. When the people of Mercury face hardships or seek guidance, they turn to her. She has helped them navigate the treacherous terrain and warns them of the planet's dangers. Legends also speak of her relationship with the celestial objects that grace the sky. It is said that she can communicate with the stars, knowing their secrets and listening to their cosmic melodies. Under the starry sky of Mercury, she seeks solace and finds inspiration for her magical endeavors. The Witch from Mercury opening remains an intriguing figure, both feared and revered by those who know her tale. She exists as a symbol of the unknown and the power that lies within nature itself. Whether she is but a figment of imagination or a real entity, her presence continues to spark fascination and wonder..

Reviews for "Mercury's Secret Witchcraft Society: The Witch from Mercury Opening"

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While "Witch from mercury opening" had an intriguing premise, the execution left much to be desired. The writing style was overly verbose and convoluted, making it difficult to engage with the story. Additionally, the pacing was incredibly slow, and the plot lacked any real excitement or surprises. Overall, I was disappointed with this book and would not recommend it to others.
3. Emma - 2 stars
I had high hopes for "Witch from mercury opening" based on the positive reviews I had seen, but I was ultimately let down. The characters felt one-dimensional and lacked relatability, making it difficult to become invested in their journey. Despite the potential for an exciting and magical world, the author failed to fully develop it, leaving me feeling unsatisfied. I can see why some readers may enjoy this book, but personally, it did not capture my interest.

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