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JADE软件功能介绍:XRD数据全图拟合WPF 精修结果判断(1)

JADE软件功能介绍:XRD数据全图拟合WPF 精修结果判断(1)

衡量WPF精修结果是否成功,重要参考以下三点:

1.在数学上,精修参数达到有意义的收敛值;

2.拟合权重因子R (Rwp)和期待因子E (Rexp)的比值;

3.全图拟合的衍射图与实验收集的XRD图的差值曲线是否平坦。

在精修的过程中,JADE软件采用在R%图表中实时显示 R & E 的数值,从而直观呈现 WPF 的精修过程,如下图所示:

R%图表中的白色竖线表示精修环次的开端,精修参数的先后顺序由精修环次依次纳入精修矩阵。精修参数的先后顺序参考如下:

1. 第一环次:多项式背景、物相的强度比例因子(SF)等参数;

2. 第二环次:晶胞参数、峰展宽相关的参数,如半高宽曲线、零点偏移、样品位移等参数;

3. 第三环次:峰型函数、择优取向等参数;

4. 第四环次:原子参数信息,如原子坐标、占位率、温度因子等。

JADE也支持用户自行分配大多数待精修参数所在的精修环次,在R%图表中的环次控制指示了精修的起始环次,并在精修过程自动更新。下图中为各个参数所处的精修环次指示:

拟合权重因子R (Rwp)和期待因子E (Rexp) 的计算公式如下:

R = 100 × √(S(w(i) × (I(o,i) - I(c,i))^2) / S(w(i) × I(o,i)^2));

E = 100 × √((N - P) / S(w(i) × I(o,i)^2)) 

其中,

I(o,i):实验衍射图在第i点处的强度(计数值)

I(c,i):i点处的计算强度;

w(i):i点的统计权重(通常w(i)=1/I(o,i))

N :XRD数据中参与拟合数据点的数量;

P :精修参数的数量;

S:所有N个拟合数据点的总和。

R/E 的比值称为拟合优值(GOF)”,理论上的理想精修,R/E 非常接近于1.0但大于1.0。为了更好理解拟合优值的含义,根据 R/E 值所属的数值范围,在R%图表中的X轴图例的右侧使用彩色点标识定义R/E 值的范围,如下图所示:

绿点:R/E<1.5WPF拟合结果理想

青点:1.5<R/E<2.0WPF拟合结果良好;

蓝点:2.0<R/E<2.5WPF拟合结果一般,如有必要,可检查精修参数值的合理性;

粉红点:2.5<R/E<3WPF结果偏差,建议重新精修;

品红点:R/E>=3.0WPF精修结果差,需要重新进行全图拟合精修。

注意:如果实验XRD图已被更改,如去除了背景、平滑过XRD数据、或衍射图强度被重新定标,则R/E 的值可能会小于1.0

在极少数情况下,如果精修矩阵以不正常的最小二乘法矩阵终止(即矩阵中对角元素的数值不全大于0),在R%图表中可能会出现警告标志,如下图所示:

点击黄色叹号标志查看相关的解释和解决方案,JADE 会取消导致此类警告相关的参数参与精修,可在 WPF 窗口检查具体是哪些精修参数没被勾选,那么很可能就是这些未勾选的参数导致的精修警告。

PDF不仅仅是提供物相鉴定的数据库

更是提供正确的物相鉴定的数据库

PDF数据库,最值得信赖的数据库!

JADE软件,分析XRD数据最得力软件!

如需了解更多,请联系国际衍射数据中心中国区首席代表:

徐春华博士

Email:icddchina@163.com

电话:13401176510 (微信同号)

网址:www.icddchina.com

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  1. CONNECT:[ UseTime:0.000553s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000754s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000321s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000276s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000511s ]
  6. SELECT * FROM `set` [ RunTime:0.000192s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000558s ]
  8. SELECT * FROM `article` WHERE `id` = 594931 LIMIT 1 [ RunTime:0.000436s ]
  9. UPDATE `article` SET `lasttime` = 1778316627 WHERE `id` = 594931 [ RunTime:0.000973s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000290s ]
  11. SELECT * FROM `article` WHERE `id` < 594931 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000439s ]
  12. SELECT * FROM `article` WHERE `id` > 594931 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000754s ]
  13. SELECT * FROM `article` WHERE `id` < 594931 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.004956s ]
  14. SELECT * FROM `article` WHERE `id` < 594931 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.003172s ]
  15. SELECT * FROM `article` WHERE `id` < 594931 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001160s ]
0.095527s